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Chapter 8: Q. 53 (page 517)

Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is 20掳, how far are you from the base of the plateau?

Short Answer

Expert verified

So the distance is 137.3739 feet.

Step by step solution

01

Given Information

Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is 20掳.

02

Solution

We can draw a figure as: -

In 鈻�ABCwe have to find BC.

tan(C)=ABBC

tan(c)脳BC=ABtan(20掳)脳BC=50BC=50tan(20掳)BC=500.3639BC鈮�137.3739

03

Final Answer

The distance is 137.3739 feet.

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Most popular questions from this chapter

Designing an Awning An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50掳 with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the Sun is more than 65掳. See the figure. Find the length L of the awning.

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