d = the distance
A triangle is formed by the lighthouse, the ground and the boat.
The angle at the top of the lighthouse = 90° - the angle of depression
90° - 27°= 63°
tan 63° = d / 210
d = 210 ∙ tan 63° = 210 ∙ 1.9626105055 = 412.148206155 ft
From the top of a lighthouse 210 feet high, the angle of depression of a boat is twenty seven degrees. Find the distance from the boat to the foot of the light house. The light house was built at sea level
1 answer
1 answer