A tower leans at an angle of about 847 The figure shows that

A tower leans at an angle of about 84.7°. The figure shows that 150 feet from the base of the tower, the angle of elevation to the top is 54.0°. Find the distance, to the nearest foot, from the base to the top of the tower. The distance is

Solution

The remaining angle is 180-54-84.7 = 41.3 degree

using sine law

sin 41.3/150=sin 54/d

d= 150sin 54/ sin 41.3

d=183.87 feet

A tower leans at an angle of about 84.7°. The figure shows that 150 feet from the base of the tower, the angle of elevation to the top is 54.0°. Find the distan

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