Question

6. The angle of elevation from a small boat to the top of a lighthouse is 25°. If the top of the lighthouse is 150

feet above sea level, find the distance from the boat to the base of the lighthouse.

Answer 1

321.68feet

Explanation:

Given the following

Top of the house above the sea level = 150feet = opposite

Angle of elevation = 25°

Required

Distance from the boat to the base of the house(adjacent)

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 25 = 150/d

d = 150/tan25

d = 150/0.4663

d = 321.68

Hence the required distance is 321.68feet