Question

From the top of a lighthouse 55 ft above sea level, the angle of depression to a small boat is 11.3 degrees. How far from the foot of the lighthouse is the boat?

Answer 1

`color(purple)("Foot of the light house from the boat " = 275.25'`

Explanation:

`hat (DCA) = hat(CAB) = 11.3@, bar(BC) = 55'`

`"To find " bar(AB)`

`tan (CAB) = (BC) / (AB)`

`tan 11.3 = 55 / (AB)`

`:. bar (AB) = 55 / tan(11.3) = color(crimson)(275.25'`