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4 years ago

Marrero is in a hot-air balloon that is 600 feet above the ground, where he can see two people.

Mathematics

1 answer:

Vlad1618 [11]4 years ago

4 0

Answer: The distance from the person on the ground to the bottom of the hotair balloon is 1,649 ft

Step-by-step explanation: Please refer to the attached diagram

From the diagram, the hotair balloon is labelled B. If Marero looks down and forms an angle of depression of 20°, that means he is forming an angle of 70° to point C where one of the two persons are standing. Point B is an angle of 70° (point A cuts point B at a perpendicular, that is, 90°)

With these we can now use the trigonometrical ratio of tangent to calculate the distance marked x on the diagram.

Tan B = opposite/adjacent

Tan 70 = x/600

When we cross multiply, we now have

Tan 70 × 600 = x

2.7475 × 600 = x

1648.5 = x

Rounded to the nearest feet

x = 1,649 feet

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The rate of decay is proportional to the amount of the substance present at a time

The equation is

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So we don't know the value of k, let's find it.

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<h3>How to find the height of a tree?</h3>

The height of a house is 52 ft.

A tree beside the house is 7.5 ft more than twice as tall.

The height of the tree is as follows:

let

x = height of the house

Therefore,

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learn more on height here: brainly.com/question/13868851

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