Solve the problem.
-From a boat on the lake, the angle of elevation to the top of a cliff is $33 ^ { \circ } 22 ^ { \prime }$. If the base of the cliff is 2101 feet from the boat, how high is the cliff (to the nearest foot)?
A) $1384 \mathrm { ft }$
B) $1397 \mathrm { ft }$
C) $1387 \mathrm { ft }$
D) $1394 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The tangent of the angle of elevation is the ratio of the height of the cliff to the distance from the boat to the base of the cliff. So,$$	an 33^\circ 22' = \frac{h}{2101}$$Solving for h, we get$$h = 2101 	an 33^\circ 22' \approx 1384 	ext{ ft}$$Therefore, the height of the cliff is approximately 1384 feet.

Solve the Problem 33∘22′33 ^ { \circ } 22 ^ { \prime }33∘22′

Solve the Problem $33 ^ { \circ } 22 ^ { \prime }$