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Q. 54

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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

A 22-foot extension ladder leaning against a building makes a 70° angle with the ground. How far up the building does the ladder touch?

Hence, the ladder touch the building at 7.5244 feet.

See the step by step solution

Step by Step Solution

Step 1 Given Information

Given that a 22-foot extension ladder leaning against a building makes a 70° angle with the ground.

Step 2 Solution

Suppose the ladder touch the building at x feet.

We can draw a figure as: -

In ABC we have to find BC=x.

cos(B)=BCABBC=AB×cos(B)x=22×cos(70)x=22×0.342020x=7.5244

Step 3 Final answer

Hence, the ladder touch the building at 7.5244 feet.

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