Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. Find the height of the mountain to the nearest foot if Bob is 19,427.5 feet from the center of the mountain at the base.
9135 ft

9235 ft

91,351 ft

913,515 ft

Question

Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. Find the height of the mountain to the nearest foot if Bob is 19,427.5 feet from the center of the mountain at the base.
 9135 ft

 9235 ft

 91,351 ft

 913,515 ft

anonymous · Answer

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anonymous · Answer

tangent (25º11')=h/19427.5

anonymous · Answer

how  do you finish solving ? @CliffSedge

anonymous · Answer

sorry im just confused

anonymous · Answer

Solve for h by multiplying both sides by 19427.5.

anonymous · Answer

so 19427.5*(25º11')=h/19427.5*19427.5 ???

anonymous · Answer

19427.5*tan(25º11')=(h/19427.5)*19427.5 

Don't forget the tangent function.

anonymous · Answer

the answer is A @CliffSedge  thank you

anonymous · Answer

Yes, 9135 feet is what I got too.