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Q. 53

Expert-verifiedFound in: Page 517

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

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.

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

We can draw a figure as: -

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

$\mathrm{tan}\left(C\right)=\frac{AB}{BC}$

$\mathrm{tan}\left(c\right)\times BC=AB\phantom{\rule{0ex}{0ex}}\mathrm{tan}(20\xb0)\times BC=50\phantom{\rule{0ex}{0ex}}BC=\frac{50}{\mathrm{tan}(20\xb0)}\phantom{\rule{0ex}{0ex}}BC=\frac{50}{0.3639}\phantom{\rule{0ex}{0ex}}BC\approx 137.3739$

The distance is 137.3739 feet.

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