SOLUTION: Closed to tourists since 1990, the Leaning Tower of Pisa in Italy leans at an angle of about 84.7 degrees. 170 feet from the base of the tower, the angle of elevation to the top i
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Question 87256: Closed to tourists since 1990, the Leaning Tower of Pisa in Italy leans at an angle of about 84.7 degrees. 170 feet from the base of the tower, the angle of elevation to the top is 50 degrees. Find the distance, to the nearest tenth of a foot, from the base to the top of the tower. Answer by tutor_paul(519) (Show Source):
You can put this solution on YOUR website! Let angle A = 50
Let Angle B = 84.7
Since the angles of a triangle must add up to 180, then
Angle C = 180-50-84.7 = 45.3
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Now, use the law of sines to find the distance from the base to the top of the tower. That is the side of the triangle opposite Angle A. The distance of 170 feet is the side opposite Angle C. So:
Now, just solve for a.
Good Luck,
tutor_paul@yahoo.com
