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From a hot-air balloon, Andres measures a 31
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angle of depression to a landmark that’s 847 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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norac729

Answer:

508.93 feet

Step-by-step explanation:

Yep, I know this problem from Delta Math.

We use tangent, and then solve for tan(31). The work is attached below.

Ver imagen norac729

The balloons vertical distance above the ground is; h = 508.93 ft.

We are told that Andres measures the angle of depression to a landmark from a hot air balloon to be 31°.

Now horizontal distance of landmark to the air balloon is 847 ft.

This means that the vertical distance will be the vertical side of a triangle formed by the hot air balloon and the landmark.

Using trigonometric ratios, the vertical height is;

h = 847 tan 31°

h = 508.929 ft

Approximating to the nearest hundredths gives;

h = 508.93 ft.

Read more at; https://brainly.com/question/24780061

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