Solve the problem.
-From a boat on the lake, the angle of elevation to the top of a cliff is 13°11'. If the base of the cliff is 1683 feet from the boat, how high is the cliff (to the nearest foot)?
A)394 ft
B)407 ft
C)397 ft
D)404 ft

Question

Quizplus · Accepted Answer

The tangent of the angle of elevation is equal to the height of the cliff divided by the distance from the boat to the base of the cliff. So, tan(13°11') = height/1683. Solving for height, we get height = 1683 * tan(13°11') ≈ 394 ft.

Solve the Problem. -From a Boat on the Lake, the Angle of Elevation