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

question 241

Multiple Choice

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) \(6065 \mathrm { ft }\)