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Chapter 8: Q. 54 (page 517)

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?

Short Answer

Expert verified

Hence, the ladder touch the building at 7.5244feet.

Step by step solution

01

Given Information

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

02

Solution

Suppose the ladder touch the building at xfeet.

We can draw a figure as: -

In △ABCwe have to find BC=x.

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

03

Final answer

Hence, the ladder touch the building at7.5244feet.

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