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A bamboo pole 20 ft. long is erected vertically. From point 50 ft. from its base, what is the...

Question:

A bamboo pole 20 ft. long is erected vertically. From point 50 ft. from its base, what is the angle of elevation of the top?

Uses of Trigonometric Ratios:

Daily there are situations that can be resolved by applying trigonometric ratios. These are applied in the right triangle where the sides are called legs and the diagonal is called hypotenuse. The trigonometric ratios are Sine, Cosine, and Tangent.

Answer and Explanation:

{eq}\begin{align*} \tan\theta&=\frac{20\:ft}{50\:ft} \\ \tan\theta&=\frac{2}{5} \\ \theta&=\tan^{-1}\left(\frac{2}{5}\right) \\ \theta&=21.80^{\circ} \end{align*} {/eq}


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Trigonometric Ratios and Similarity

from Geometry: High School

Chapter 14 / Lesson 7
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