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Q. 53

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Precalculus Enhanced with Graphing Utilities
Found in: Page 517
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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Short Answer

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

So the distance is 137.3739 feet.

See the step by step solution

Step by Step Solution

Step 1 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°.

Step 2 Solution

We can draw a figure as: -

In ABC we have to find BC.

tan(C)=ABBC

tan(c)×BC=ABtan(20°)×BC=50BC=50tan(20°)BC=500.3639BC137.3739

Step 3 Final Answer

The distance is 137.3739 feet.

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