SOLUTION: The observation deck at Peggy's Cove lighthouse, in Nova Scotia, is about 20 m above sea level. From the observation deck, the angle of depression of a boat on the water is 6°. H

Algebra ->  Trigonometry-basics -> SOLUTION: The observation deck at Peggy's Cove lighthouse, in Nova Scotia, is about 20 m above sea level. From the observation deck, the angle of depression of a boat on the water is 6°. H      Log On


   



Question 1195115: The observation deck at Peggy's Cove lighthouse, in Nova Scotia, is about 20 m above sea level.
From the observation deck, the angle of depression of a boat on the water is 6°. How far is the boat
from the lighthouse, to the nearest metre?

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

If x is the distance from the boat to the lighthouse (measured horizontally at the sea level), then

    tan(6°) = 20%2Fx,


which gives  x = 20%2Ftan%286%5Eo%29 = 20%2F0.1051 = 190.3 meters.    ANSWER

Solved.