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9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the

pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how

far is the whale from his eyes?

Sagot :

Isaacoranseolaidn

Answer:

90.67feet

Step-by-step explanation:

Given that α = 20°

Tan α = opp/adj......... 1

Opp = 33feet

Adj = x

Substitute the values into equation 1

Tan 20° = 33feet/adj

0.36397 = 33/adj

0.36397×adj = 33

Adj = 33/0.36397

Adj = 90.666

Recall, adj = x = 90.666feet

x = 90.67feet

Hence, the whale is 90.67feet far from the eyes

View image Isaacoranseola
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