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Question 121

Fromthe top of a building of height 60 feet which is on the bank of a river, the angle of depression of a house onthe other side of the river is observed to be $$60^\circ$$. The widthofthe river (in feet) is

Solution

The diagram can be constructed like this:

As we can see, triangle HBB' is a a 30-60-90 triangle with one of the sides known.
HB is the width of the river.
HB = BB'/(root 3) = 20*(root 3)

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