Mahmoud is working out the height, h metres, of a tower

BT which stands on level ground.

He measures the angle TAB as 25°.

He cannot measure the distance AB and so he walks 80 m

from A to C, where angle ACB = 18° and angle ABC = 90°.

Calculate

Answers

Answer 1

Answer:

24.72 m

11.53 m

Step-by-step explanation:

Horizontal distance AB can be obtained from △ABC

From trigonometry :

Sin18° = opposite / hypotenus

Sin18° = AB / 80

AB = 0.3090169 * 80

AB = 24.72 m

The height BT, of tower from △ABT

From trigonometry :

Tan25° = opposite / Adjacent

Tan25° = h / 24.72m

h = Tan25 * 24.72

h = 11.527

h = 11.53 m

Hence, height of tower BT = 11.53 m

Mahmoud Is Working Out The Height, H Metres, Of A TowerBT Which Stands On Level Ground.He Measures The

Related Questions

i have a few math problems for anyone who’s good at it help please it’d be great .

Answers

Answer:

What do you need help with?

The diameter of a circle is 9 m. Find the circumference to the nearest tenth.​

Answers

Answer:

Circumference = diameter × π

Take π =3. 14

9×3. 14 = 28. 26 ~ 28. 3

Can someone plz help me on this plz I beg u

Answers

Answer:

8

Step-by-step explanation:

So, lets go over a few things:

First off, all triangles have a total angle of 180 degrees.

Secondly, we know that the first two angles are 57 and 51.

Thirdly, we know that the missing angle is 9x

To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.

So, add together the two angles we know:

57+51

=

108

So we know 108 degrees of our triangle. We must find whats left of the 180.

To do this, subtract 108 from 180:

180-108

=

72

So our remaining angle is 72 degrres.

But recall that x isnt the misisng angle, 9x is.

So, to get x on its own, we must divide both the missing angle and 9x by 9:

72=9x

---  ---

9   9

=

8=1x

So now we know that x equals 8.

I hope this helps! :)

Answer:

X = 8

Step-by-step explanation:

Okay so we know that there are a total of 180 degrees in every triangle. We need to create the equation to define the triangle's angles. 51 + 57 + 9x = 180. Then, we will solve for x.

180 = 51 + 57 + 9x  we are going to simplify the equation by solving what we can

180 = 108 + 9x         * Now we will isolate x

180 - 108 = 9x          * Solve the left side of the equation

72 = 9x                     * Divide both sides by 9

8 = x                    

Evaluate the expression for a = 10 and b = 12.


a+4(b−3)

Answers

Answer:

46

Step-by-step explanation:

a + 4(b - 3)

Substitute the values for a and b.

10 + 4(12 - 3)

Subtract inside the parenthesis.

10 + 4(9)

Multiply.

10 + 36

Add.

46

please help me dont add a link you'll get reported

Answers

Answer:

D, 245.0 in^2

Step-by-step explanation:

Formula for the surface area of a cylinder: A=2πrh+2πr^2

A = 2πrh + 2πr^2

A = 2π(3)(10) + 2π(3)^2

A = 60π + 18π  

A = 245.044

Answer:

???/

Step-by-step explanation:

Can someone help me

Answers

Answer:

b. the slopes of both functions are positive

Step-by-step explanation:

hope this helps :)

Answer:

C. The slope of function A is positive and the slope of function B is negative.

Step-by-step explanation:

For this problem, you need to determine the slope of each function.

For function A:

You're given y = (1/4)x - 2/3, which is in slope-intercept form y = mx + b. The slope of an equation in slope intercept form is given by m.

So the slope for function A is 1/4.

For function B:

You're given a list of (x, y) points, so use the definition of the slope = [tex]\frac{y2-y1}{x2-x1}[/tex], which gives you the slope from any two (x, y) points on the line. Let's take the first and second points (2, -8) and (4, -9)

Slope = [tex]\frac{-9-(-8)}{4-2} = \frac{-1}{2}[/tex].

Therefore, the slope of function A is positive and the slope of function B is negative.

What is the solution to the inequality -3x - 5 < -20?

Answers

Answer: x>5

Step-by-step explanation: Hope this help :D

Please answer this math question for me

Answers

Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

The answer is 77• ...........,..,,,,,

Help me ASAP!!
Find the area of the whole blue triangle.
8.5 m
10 m
8 m
3 m
6 m

Answers

I believe you would add the 6m and 3m to make 9m then do the area equation which is a=1/2bh so 1/2 times 9 times 8 you would get 36 so that should be the answer 36

it is multiple choice and i know 100% that the answer is no, but i dont know the answer for the solution part

Answers

Answer:

NO

NO SOLUTION

Step-by-step explanation:

2t + 2e = 11  eqn 1

t + e = 6.5 eqn 2

this can be solved using simultaneous  equation

Multiply eqn 2  by 2

2t + 2e = 13

subtract eqn 1 from2

0 + 0 = 2

there is no solution

if peter has 27 apples and gives Tim 7, how much does peter have?​

Answers

Answer: 20

Step-by-step explanation:

27 apples - 7 apples = 20 apples

Answer:

Peter has 20 apples

Step-by-step explanation:

27 - 7 = 20

Logan has $63 and would like to purchase as many packs of baseball cards as possible to add to her collection. Part A An advertisement in the newspaper shows that each pack of cards costs $1.75. At this price, how many packs of cards can Logan buy? Write the answer in the box. packs

Answers

Answer:

36 card

Step-by-step explanation:

because 1 card cost $1.75 and Logan has $63, just divide 63 by 1.75 to get the answer

63÷1.75 =36

Write the phrase as an expression.

six more than three times a number w

Answers

Answer:

6+3x=w

Explanation:

6 *more* more always means + and then three *times* times always means *so it would equal 6+3x=w

Can you solve this for x? 7x-1

Answers

Answer 1/7 hope it helps

Justin likes to get 7 hours of sleep. He woke up after sleeping for 5 1/3 hour. How many more hours does he need to get the amount of sleep he likes?

Answers

Answer:

He needs 1 hour 40 minutes more to get the amount of sleep he likes or 1 2/3 hours

Step-by-step explanation:

Justin likes to get 7 hours of sleep.

He woke up after sleeping for 5 1/3 hour = 5 hours 20 mins

Number of more hours needed to get the amount of sleep he likes= 7 hours - 5 1/3 hours.

1 hour = 60 minutes

1/3 hours = 60/3 = 20 minutes

Hours         Minutes

7                     00       when we borrow 1 hour we borrow 60 minutes

5                    20

1                   40

He needs 1 hour 40 minutes more to get the amount of sleep he likes

or 1 2/3 hours

problem of volume that equals 9 work please

Answers

Step-by-step explanation:

l=1

b=3

h=3

l×b×h

9 is the vol

Find y to the nearest degree. *

Answers

Step-by-step explanation:

.....................

What is the value of n in the equation below? a^n/ a^3 = a^9
a. 3
b. 6
c. 12
d. 27​

Answers

Answer:

C, 12

Step-by-step explanation:

if i get 1 dollar every 2.4 hours how long will it take to get 30 dollars

Answers

Answer:

72 hours to get 30 dollars

Step-by-step explanation:

30 x 2.4 = 72 hours

2.4x30 equals 72 so it would tke 72 hours

hope this helps

If a town with a population of 2000 doubles in size every 89 years what will the population be 267 years from now

Answers

Answer:

8,000 or 8·10³

Step by Step:

2000+2000=4000

4000+4000=8000

8000 or 8·10³

Answer:

16000

Step-by-step explanation:

This is essentially is asking 'What is 2000 * 2 * 2 * 2?'.

May I have Brainliest?

Hope that this helps!

pppppllls help I need help ​

Answers

Answer: This is basic trig man, So I can help you here. First thing you need is a calculator that can do sin cos and tan, ti-84 would work best. You need to use the sin cos and tan formulas to find the edge lengths of the side. heres a helppful tip to remeber the proper way to use the formulas. SOH-CAH-TOA or sin(angle measure)= Opposite side to that angle measure divided by the hypotenuse cos(angle measure)= adjacent side (the side next to the angle) divided by the hypotenuse. and TOA or Tan(angle measure)=Opposite divided by adjacent.

Step-by-step explanation: This is a mix of Special right triangles and trig. You now know how to do the trig, look up special right triangles 60 30 90 and 90 45 45, it should show you how to do the rest of the math, since I don't recall the formulas for this off the top of my head. I am not just giving you the answers for two reasons, 1 it would take tooo long and I am already doing a quiz, which I have five minutes left to complete, and B If you cant do this for yourself you will fail the final for your course.

HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.

Answers

Answer:

x = 3 ; y=2

Step-by-step explanation:

to simplify the work we can build a system of two equations

2x+3 = 3y+3

x = y+1

we can now substitute the value of x in the first equation

2(y+1)+3 = 3y+3

2y + 2 + 3 = 3y+3

2y + 5 = 3y+3

y = 2

now we can subisitute the value of y in the first equation

x = 2 + 1 = 3

Verify

2(3)+3 = 6+3 = 9

3(2) + 3 = 6 + 3 = 9

3

2+1 = 3

Please help!


Due soon...

Answers

Answer:

1: 233 m

2: 466 m

3: 241.87 m

4: 483.72

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2, in which c is the hypotenuse (in this case,  PQ and RS).

1: 105^2 + 208^2 = 54289, square root of 54289 = 233

2: Since the area of the triangle makes up half of the rectangle, multiply the area by 2 to get 466

3: 120^2 + 210^2 = 58500, square root of 58500 is 241.87

4: Multiply by 2 to get 483.72

A factory makes rods by cutting plastic pipes that are 4 feet long into 7 equal-sized rods. How long is each rod? (enter your answer as a fraction or a mixed number)

What is the total length of 15 rods? (enter your answer as a fraction or a mixed number)

Answers

Answer:

4/7

Step-by-step-- It is given that we have cut the 4 ft long.

We have to make it into 7 times it's original piece.

To determine this Is the length of the new rods.

Let the length of each new rod be x.

We need 7 rods-

7x = 4 ft

1 = 4/7x

x = 4x/7x

So, x gets cancelled. Now, we get the answer as . 4/7

hope this helped..:))

Answer:

4/7

Step-by-step explanation:

Find the missing values in the Table of Values. Write your numbers from top to bottom in the space below with a comma between each value.

PLEASE DON'T GIVE A LINK OR DELETE THE ANSWER BECAUSE THIS IS MY SECOND TIME POSTING THIS SO PLS PLS PLS GIVE A PROPER ANSWER TO ALL OF THE PICTURES.

Answers

Answer:

Alright, with this, its essentially asking for you to plug in X into each equation for the answer.

With the first box, it asks for y = 5 - x, given the x = -2.

y = 5-x

y=5-(-2)

y=5+2

y=7

With the second box down, it wants things a bit differently, it gives you the y value, and wants for you to find the x. Given this, this question can be done backwards for the x value.

y = 5-x

6 = 5-x

x+6= 5

x=-1

With the third one, its the same thing as with the first box.

y = 5-x

y = 5-0

y = 5

Same thing with the fourth one.

y = 5-1

y = 4

If you have any question about the process or the answer, please comment below and I can help explain on what you're stuck on.

Answer:

Picture 1: (-2, 7), (-1,6), (0,5), (1,4)

Picture 2: (-2, -6), (4,6), (0,-2), (1,0)

Picture 3: (-1, -4), (8,5), (1,-2), (5,2)

solve the equation using square roots. round your solutions to the nearest hundredth. 5x^2+2=6

Answers

x = 0.89
x = -0.89
two solutions

PLS HELP DUE ASAP! WILL MARK BRAINLIEST

Answers

Answer:

24º

Step-by-step explanation:

C = (1/2)(56 + 116)

C = 86

4x - 10 = 86

4x = 96

x = 24

What is the third side of the triangle when the other two is 7 and 4

Answers

Answer:

sqrt. 65

Step-by-step explanation:

assuming that it is a right angle

7^2 + 4^2 = c^2

c=sqrt. 65

Answer:

6cm

Step-by-step explanation:

The number of marbles of different colors stored in a hat is listed below:

4 red marbles
10 green marbles
7 blue marbles
Without looking in the hat, Dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Dan takes out a blue marble in both draws?
2/21
1/9
1/2
2/3

Answers

Answer:

The answer would be a 1/9 chance of him picking two blue marbles in a row.

The Smith's 5 children need to be lined up for a family photo. In how many ways could this be done? 5 5 5! 5! 5C5 5 cap c sub 5 55

Answers

Answer:

120 ways

Step-by-step explanation:

To line 5 children up in a family photo, the number of possible arrangements is obtained by taking the factorial of the number of people on the line.

In this scenario, we have 5 ;

Recall;

n! = n(n-1)(n-2)(n - n-1)

5! = 5(5-1)(5-2)(5-3)(5-4)

5! = 5 * 4 * 3 * 2 * 1

5! = 120 ways

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