Solve the problem.
-From a boat on the river below a dam, the angle of elevation to the top of the dam is $13 ^ { \circ } 58 ^ { \prime }$. If the dam is 1732 feet above the level of the river, how far is the boat from the base of the dam (to the nearest foot)?
A) $6964 \mathrm { ft }$
B) $6944 \mathrm { ft }$
C) $6954 \mathrm { ft }$
D) $6934 \mathrm { ft }$

Question

Quizplus · Accepted Answer

To find the distance from the boat to the base of the dam, use the tangent of the angle of elevation: $\tan(13^\circ 58') = \frac{1732}{x}$. Solving for $x$, we get $x \approx 6964$ feet.

Solve the Problem 13∘58′13 ^ { \circ } 58 ^ { \prime }13∘58′

Solve the Problem $13 ^ { \circ } 58 ^ { \prime }$