SOLUTION: Shelia is standing 500 ft away from the base of a building.Her eyes are precisely 5 ft above the ground. From this point, the top of the building makes an angle of 54 degrees with

Question 590134: Shelia is standing 500 ft away from the base of a building.Her eyes are precisely 5 ft above the ground. From this point, the top of the building makes an angle of 54 degrees with a line parallel to the ground. How tall is the building?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Shelia is standing 500 ft away from the base of a building.Her eyes are precisely 5 ft above the ground. From this point, the top of the building makes an angle of 54 degrees with a line parallel to the ground. How tall is the building?
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Draw the picture.
You have a right triangle with base = 500 and base angle = 54 degrees.
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Equation:
tan(54) = (height of bldg - 5)/500
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(height of bldg -5) = 500*tan(54) = 688.19 ft
height of bldg = 688.19+5 = 693.19 feet
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Cheers,
Stan H.
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