Question

A person in a small boat sights the top of a 40-foot lighthouse found on a cliff. The angle of elevation to the top of the lighthouse is 50.2 degrees. If the distance from the base of the cliff to the boat is 75 feet,what is the height of the cliff?
let the height of the cliff be h feet

to the top of the lighthouse
tan 50.2 = (h+40)/75
h+ 40 = 75tan 50.2
h = 75tan 50.2 - 40
= ........
50ft

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