Solve the problem.
-From a boat on the river below a dam, the angle of elevation to the top of the dam is $35 ^ { \circ } 18 ^ { \prime }$. If the dam is 371 feet above the level of the river, how far is the boat from the base of the dam (to the nearest foot)?
A) $524 \mathrm { ft }$
B) $494 \mathrm { ft }$
C) $504 \mathrm { ft }$
D) $514 \mathrm { ft }$

Question

Quizplus · Accepted Answer

To find the distance from the boat to the base of the dam, we can use the tangent of the angle of elevation, which is the opposite side (height of the dam) over the adjacent side (distance from the boat to the dam). So, $\tan(35^\circ 18') = \frac{371}{\text{distance}}$. Solving for the distance gives approximately 524 feet.

Solve the Problem 35∘18′35 ^ { \circ } 18 ^ { \prime }35∘18′

Solve the Problem $35 ^ { \circ } 18 ^ { \prime }$