From a boat on the lake, the angle of elevation to the top of a cliff is 30°50'. If the base of the cliff is 1038 feet from the boat, how high is the cliff(to the nearest foot)?

Say , the height of cliff is h feet.

h/1038 = tan(30 dig, 50 min)

h= 1038*0.5969

= 619.6 feet

The height of cliff is 619.6 feet