Solve the Problem $22 ^ { \circ } 56 ^ { \prime }$

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 $22 ^ { \circ } 56 ^ { \prime }$ . He then drives 1 mile (1 mile $= 5280 \mathrm { ft }$ ) more and measures the angle of elevation to be $33 ^ { \circ } 9 ^ { \prime }$ . Find the height of the mountain to the nearest foot.

A) $6443 \mathrm { ft }$
B) $634,295 \mathrm { ft }$
C) $6343 \mathrm { ft }$
D) $63,430 \mathrm { ft }$

Correct Answer:

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