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Q. 54

Expert-verifiedFound in: Page 517

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

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.

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

Suppose the ladder touch the building at $x$ feet.

We can draw a figure as: -

In $\u25b3ABC$ we have to find $BC=x.$

$\mathrm{cos}\left(B\right)=\frac{BC}{AB}\phantom{\rule{0ex}{0ex}}BC=AB\times \mathrm{cos}\left(B\right)\phantom{\rule{0ex}{0ex}}x=22\times \mathrm{cos}\left(70\right)\phantom{\rule{0ex}{0ex}}x=22\times 0.342020\phantom{\rule{0ex}{0ex}}x=7.5244$

Hence, the ladder touch the building at $7.5244$ feet.

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