The angle of elevation from a point on the ground to the top of a pyramid is 30°10'. The angle of elevation from a point 101 feet farther back to the top of the pyramid is 16°10'. Find the height of the pyramid. What is the height of the pyramid? ft (Round to the nearest integer.)
Added by Shawn H.
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Let $h$ be the height of the pyramid, and let $x$ be the distance from the point on the ground to the base of the pyramid. Then we have the following equations: $$\tan 30^\circ 10' = \frac{h}{x}$$ $$\tan 16^\circ 10' = \frac{h}{x+101}$$ Show more…
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