Solve the problem.
-From a boat on the lake, the angle of elevation to the top of a cliff is $24 ^ { \circ } 11 ^ { \prime }$. If the base of the cliff is 2696 feet from the boat, how high is the cliff (to the nearest foot)?
A) $1214 \mathrm { ft }$
B) $1211 \mathrm { ft }$
C) $1224 \mathrm { ft }$
D) $1221 \mathrm { ft }$

Question

Quizplus · Accepted Answer

To find the height of the cliff, use the tangent function: $\tan(24^\circ 11') = \frac{\text{height}}{2696}$. Solving for height gives approximately 1211 feet.

Solve the Problem 24∘11′24 ^ { \circ } 11 ^ { \prime }24∘11′

Solve the Problem $24 ^ { \circ } 11 ^ { \prime }$