A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?

Answers

Answer 1

Step-by-step explanation:

there is a right-angled triangle.

its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).

so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :

c² = a² + b²

line² = 396² + 332² = 156816 + 110224 = 267040

line = sqrt(267040) = 516.7591315... m

and we know 1 angle : the 90° angle between the legs.

the other angles we can now get by using the law of the sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the angles are opposite of the lines.

the line of sight is opposite of the 90° angle.

and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.

so, we have

516.7591315.../sin(90) = 396/sin(angle)

as sin(90) = 1

516.7591315... = 396/sin(angle)

sin(angle) = 396 / 516.7591315... = 0.76631447...

angle = 50.02407526...°


Related Questions

Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation


They will be at the same altitude in _ minutes, when their altitude will be _ feet.

Answers

Answer:

6 seconds., 16800 feet

Step-by-step explanation:

The first plane is going y = -3200x + 36000

The second plane is going y = 2800x

Substitute the second equation for y into the first one:

2800x = -3200x + 36000

6000x = 36000 (Add 3200x to both sides)

x = 6 (Divide each side by 6000)

That means they will be the same altitude at 6 minutes.

To find how high, put your answer into one of the equations.

y = 2800 (6)

y = 16,800 feet

Jalen earns $33 for babysitting 4 hours.


After how many hours of babysitting will Jalen have made over $500?

Answers

Answer:
60.6 hours
Explanation:
If Jalen earns $33 for 4 hours, then that means she earns $8.25 every 1 hour. The equation for this is y=8.25x. Y represents the total amount earned while x represents the amount of hours. We can substitute $500 for y and solve the for equation. So 500 divided by 8.25 would give you 60.6, meaning it would take Jalen 60.6 hours of babysitting to earn $500

60.6 hours Jalen have made over $500.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jalen earns $33 for babysitting 4 hours.

So, in one hour Jalen earns = 33/4

                                              = $8.25

and, if Jalen have to made over $500 then she works

= 500/ 8.25

= 60.6 hours

Hence, 60.6 hours Jalen have made over $500.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

I need helppp
It’s for math and I’m clueless

Answers

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.

The complex zeros of f are:

Answers

Answer:

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=x^3-1[/tex]

[tex]0=x^3-1[/tex]

[tex]0=(x^2+2x+1)(x-1)[/tex]

[tex]x-1=0[/tex]

[tex]x=1[/tex] <-- Real Solution

[tex]x^2+x+1=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]

[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions

please help me with this problem

Answers

Answer:

v=32

Step-by-step explanation:

23-15=8x4=32

32/4+15=23

PLS HELP ILL MArk BRAINLIEST!!

Answers

it should be 960 because it’s length x width x height

960 cubic ft

Step-by-step explanation:

I'm just super smart looool

what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12

Answers

Answer:

4(x+2) = 4x + 8

Step-by-step explanation:

because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal

4(x+2)=4x+8

4x+8=4x+8
Both side is equal no matter what.

Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the speed that each bicyclist rode in
miles per hour if they are 8V2 miles apart after riding
for 2 hours at the same speed

Answers

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

Additional comment

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

What is the value of x?

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

option d is correct

[tex]\large\huge\green{\sf{Explanation:-}}[/tex]

The sum of all three angle of triangle is180°

[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]

Does order matter when performing a composition of two transformations of the same type? Explain.

Answers

The order does not matter. Algebraically we have y=12f(x3). Of our four transformations, (1) and (3) are in the x direction while (2) and (4) are in the y direction. The order matters whenever we combine a stretch and a translation in the same direction.


Which algebraic expression represents the
following situation: Six fewer seashells than
the total number of seashells in p packages,
each of which has five seashells?
Is it c

Answers

Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

Learn more about equations on:

https://brainly.com/question/2972832

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 12in)

Answers

Answer:

18 feet

Step-by-step explanation:

If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D

The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.

Answers

The accurate statements are:

b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.  e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The given parameters are:

[tex]n = 12[/tex] --- number of parts

[tex]r = 10[/tex] --- the radius

(a) The central angle

Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.

So, the measure of the two sections is:

[tex]\theta = 30^o \times 2[/tex]

[tex]\theta = 60^o[/tex]

Hence, (a) is false

(b) The circumference

This is calculated using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 \times 3.14\times 10[/tex]

[tex]C = 62.8[/tex]

Hence, (b) is true

(c) The measure of the minor arc

Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.

So, the measure of the four sections is:

[tex]\theta = 30^o \times 4[/tex]

[tex]\theta = 120^o[/tex]

Hence, (c) is true

(d) The length of the major arc

Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.

So, the measure of the seven sections is:

[tex]\theta = 30^o \times 7[/tex]

[tex]\theta = 210^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{13188}{360}[/tex]

[tex]L = 36.3[/tex]

Hence, (d) is false

(e) The length of the minor arc

There is only one section between points 6 and 7

So, the measure of the section is:

[tex]\theta = 30^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{1884}{360}[/tex]

[tex]L = 5.2[/tex]

Hence, (e) is true

Read more about segments and arcs at:

https://brainly.com/question/14965059

Answer:

-B

-C

-E

Step-by-step explanation:

just took the test...

I got them right

2. Solve for x.
28
2x + 8
82
5x - 4

Answers

Answer: x = 10 x = 17.2

Solution of Problem 1:

2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10

Solution of Problem 2:

82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2

Therefore:

Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2

Hoped this helped.

[tex]BrainiacUser1357[/tex]

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?

Answers

Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?

Answers

Answer:

check online for more information

Answer:

Check online for more informations.

NO LINKS!!!

Help please ;-;

And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following


____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}

A. x > ‐4

B. x < ‐4

C. x ≥ ‐4

D. x ≤ ‐4


____ 2. The set of numbers {9, 8, 7, …}

A. x > 9

B. x < 9

C. x ≥ 9

D. x ≤ 9


____ 3. The set of numbers {0, -2, -4, -6, -8, ...}

A. x > 0

B. x < 0

C. x ≥ 0

D. x ≤ 0


____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}

A. x > ‐6

B. x < ‐6

C. x ≥ ‐6

D. x ≤ ‐6

Answers

1. A

2. D

3. D

4. C

(IF YOU NEED A EXPLANATION, JUST ASK!)

For f(x) = x + 7, find f(x) when x = 3 and when x = -5.​

Answers

Answer:

When x = 3

f(3) = 3 + 7 = 10

When x = -5

f(-5) = -5 + 7 = 2

please mark me the brainliest

plz help me find this answer for number 9 and number 10 offering 20 points for a answer !!

Answers

Answer:

7

Step-by-step explanation:

Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:

[tex]3x^2+7y^3+2x+9y-5y^2[/tex]

The first term is: [tex]3x^2[/tex]

The second term is: [tex]7y^3[/tex]

The third term is: [tex]2x[/tex]

The fourth term is: [tex]9y[/tex]

The fifth term is: [tex]-5y^2[/tex]

Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:

The first coefficient is: 3

The second coefficient is: 7

The third coefficient is: 2

The fourth coefficient is: 9

The fifth coefficient is: -5

Plzzzz help asap
This table shows input and output values for a linear function
f(х)
What is the positive difference of outputs for any two inputs that
are three values apart?

Enter your answer in the box.

Answers

Answer:

2

Step-by-step explanation:

From what I understand from the question,

you're looking for the difference between f(x) and f(x+4)

lets take the points f(-3) and f(1)

the difference is 0.5 - -1.5=2

anybody help please hm​

Answers

The answer should be C

Find y such that the slope between (2, y) and (5, -3) is 7.​

Answers

Answer:

y= -24

Step-by-step explanation:

since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24

After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second

Answers

Answer:

5 feet per second

Step-by-step explanation:

Use the formula y2-y1/x2-x1. (10,50) is x1 and y1. 25 seconds and 125 feet is x2 and y2.

(125-50)/(25-10) = 75/15

We need to solve for the feet per (or 1) second, so we have to divide it by 15.

75/15= 5

So, the slope is 5 feet per second.

PLEASE HELP QUESTION IN PICTURE

Answers

I think it’s B 132 because it’s an obtuse angle and those measure more than 90 degrees
It’s definitely B because ABC is a obtuse angle and B is the number above 90

how do you expand 5(2x - 1)?

Answers

multiply 5 by each number in the parentheses

Hey there!

5(2x - 1)

DISTRIBUTE 5 WITHIN THE PARENTHESES

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer is: 10x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which graph best represents the solution set of y 3 x − 4?

Answers

Answer:

Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.

Find 66.9% of 160.6. Round to the nearest thousandth.

Answers

Answer:

160 is the answer I just toke the quiz

the answer is 107.441

2. Graph each inequality on a number line:

5x + 15 < 0

Answers

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]  

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Answers

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

3n + 21=33

3n=33-21

3n=12

n=12÷3

n=4

Reduce the fraction and find the domain:

(c+2)^2 divided by 7c^2+14c

Answers

the answer is c + 2/7c
Other Questions
Answer my question for the ones who knows and speak Spanish plzz!! Describe how people living in the Arabian Peninsula adapted to their environment.50 POINTS + BRAINILEST! The slight difference in meaning between words is generally known as ________. ThemeStyleSubstancenuance a scientist finds an organism that has a single cell without a nucleus.This organism was found in pond water.In which KINGDOM douse it belong?if you can explain 6. Find the value of y.516 Someone help me please-Also its like really late for me its 12:55 ;-; help plslssssssssssssssss 100 POINTS PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which of the following compounds contains the largest number of atoms? *O A. 1.00 mole of NH3O B. 1.00 mole of H2SO4C. 1.00 mole of HBr The rules of some video games are too_______ for most grandparents.complex advantage competent productive When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form What is la bouche in English please help me if you can What revision, if any, is needed to make this thesis statement more effective?In the novel Lord of the Flies, William Golding uses Ralph, with his leadership, initial optimism, and naivete, as a symbol for order and civilization.a) It needs to address meaning, or the "so what?"b) It needs to be arguable or defensible.c) It should provide evidence for the position.d) It should provide the last names of characters.e) No revision is needed; the thesis is effective. Find the total amount and total interest after one year if the interest is compounded half yearlyPrincipal = 4000Rate of interest = 10% per annumTotal amount =Total interest = 2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest formThanks for the help!!!! how are the French explorers different from the Spanish explorers.? HOW SANTA CLAUS FOUND THE POOR-HOUSE? Question 8 of 10How can alliteration strengthen the impact of poetic language?A. The powerful imagery makes the reader want to continue.B. The complex emotions are difficult to express in other waysC. The pleasing sound of the words makes them seem to "fit"together.O D. The important themes demand the reader's full attention.so Plssssssssss helpppppppp