SOLUTION: From a point 35 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 40° and 47° 10', respectively. Find the height of the s
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Question 818611: From a point 35 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 40° and 47° 10', respectively. Find the height of the steeple. (Round your answer to one decimal place.) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! From a point 35 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 40° and 47° 10', respectively. Find the height of the steeple. (Round your answer to one decimal place.)
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Draw the picture:
Height from ground to base of steeple::
height = 35*tan(40 degrees) = 29.37 ft
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Height from ground to top of steeple::
height = 35*tan(47.17 degrees) = 37.76 ft
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Height of the steeple = 37.76 - 29.37 = 8.39 ft.
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Cheers,
Stan H.
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