Solve the Problem $23 ^ { \circ } 17 ^ { \prime }$

Solve the problem.
-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 $23 ^ { \circ } 17 ^ { \prime }$ . He then drives 1 mile $\left( 1 \mathrm { mile } = 5280 \mathrm { ft } \right.$ ) more and measures the angle of elevation to be $34 ^ { \circ } 32 ^ { \prime }$ . Find the height of the mountain to the nearest foot.

A) $6165 \mathrm { ft }$
B) $60,645 \mathrm { ft }$
C) $606,452 \mathrm { ft }$
D) $6065 \mathrm { ft }$

Correct Answer:

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