Question

From a boat on the lake, the angle of elevation to the top of a cliff is 24°52'. If the base of the cliff is 944 feet from the boat, how high is the cliff (to the nearest foot)?

Answer 1

tan 24° 52` = h / 944
h = 944 · tan 24°52`
h = 944 · 0.4634776
h = 437.52 ft ≈ 438 ft
Answer:
The cliff is 438 ft high.