passpadi

2009

Mathematics

JAMB

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

A.

100m

B.

75√3 m

C.

100√3m

D.

200√3m

Correct Answer: 100√3m

Explanation

Tan 60 = 300/x x =300/Tan 60 x =300/√3 x = (300/√3) x (√3/√3) x =300√3/.....3 x = 100√3

Tan 60 = 300/x x =300/Tan 60 x =300/√3 x = (300/√3) x (√3/√3) x =300√3/.....3 x = 100√3
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