A boat is spotted in the water with an angle of depression of 25° from the top of a lighthouse that is 89 feet tall. To the nearest foot, how far away is the boat from the base of the lighthouse?

A) 37 feet

B) 42 feet

C) 98 feet

D) 191 feet

E) 211 feet

macabresubwoofer Dec 4, 2019

#1**+1 **

tan(angle) = opposite/adjacent

tan(25) = 89/x

x*tan(25) = 89

x = 89/tan(25)

x = 190.86111592535 make sure your calc is in degree mode

x = 191

Answer: D) 191 ft

macabresubwoofer Dec 4, 2019