Mathematics College

From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer 1

Here is the set up:

Let h = balloon's vertical distance.

sin(40°) = h/1165

sin(40°)(1165) = h

748.847565

748.85 feet = h

Done.

Answer 2

The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

From a hot-air balloon,

Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.

Let h be the vertical distance.

Use tanθ = perpendicular / base

Here, perpendicular = 1165 feet and base = h and θ = 40°

Substituting the values,

tanθ = perpendicular / base

tan40° = 1165 / h

h = 1165 / tan40

h = 1165 / 0.839095

h = 1388.40059 feet.

h ≈ 1388.40 feet to the nearest hundredth.

Therefore, vertical distance is 1388.40 feet

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From A Hot-air Balloon, Mariana Measures A 40 Angle Of Depression To A Landmark That's 1165 Feet Away,

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End of semester geometry Semester A question 6

Select the correct answer.
Given:

Prove:

By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .

What step is missing from this proof?

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by the definition of congruence.

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

See attachment.

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Answer:

14.4

Step-by-step explanation:

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1.8 = 1 + 0.8

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Answers

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The range = -∞ < y < ∞

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The range = -∞ < y < ∞

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Answer:

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Step-by-step explanation:

Let the height of the larger window be h.

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Therefore the height of the larger window is 15.36 units.

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From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.​

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From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.