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If your distance from the foot of the tower is 20 m and the angle of elevation is 40°, find the height of thetower.

User TorukMakto
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1 Answer

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We have to use the tangent of angle 40 to find the height of the tower.


\text{tan(angle) = }\frac{opposite\text{ side}}{\text{adjacent side}}

The adjacent side is 20m, and the angle is 40 degrees, then


\tan (40)\text{ = }\frac{height\text{ of the tower}}{20m}
\text{height = 20m }\cdot\text{ tan(40) = 20m }\cdot0.84\text{ = }16.8m

Therefore, the height of the tower is 16.8m

User Bryce Johnson
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