Question

From a boat on the lake, the angle of elevation to the top of a cliff is 27°57'. If the base of the cliff is 128 feet from the boat, how high is the cliff (to the nearest foot)?

Answer 1

If the base of the cliff is 128 feet from the boat, the cliff is 68 feet high. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer:

Height of cliff = 67.92 ft

Step-by-step explanation:

Refer the figure given

      Distance to base of cliff from boat = AB = 128 feet

      Angle of elevation to the top of a cliff = ∠ABC = 27°57'

We need to find height of cliff = AC

We have

       $tan(27^057')=\frac{AC}{AB}=\frac{AC}{128}\\\\AC=67.92ft$

Height of cliff = 67.92 ft