The lighthouse keeper that is at the top of a lighthouse that is 88 ft tall. A ship is sighted that is 1532 ft from the base of the lighthouse. What is the angle of depression from the top of the lighthouse to the ship?

Round to the nearest hundredth.

1 Answer
Binayaka C.
Aug 28, 2016

The angle of depression is #3.29^0(2dp)#

Explanation:

Let #theta# be the angle of depression i.e the angle between the horizontal and the observer's line of sight. # tantheta=#(Height of the light house)/(Horizontal distance of ship from the base of light house) #:.tantheta=88/1532 =0.0574:.theta=tan^-1(0.0574)=3.29^0(2dp)#[Ans]

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