Paige S.

asked • 11/06/20

what is the height of the building?

A surveyor determines that the angle of elevation to the top of a building from a point on the ground is 28 degrees. He then moves back 54.4 feet and determines that the angle of elevation is 21.3 degrees. What is the height of the building?Round your answer to four decimal places.


every tutor has gotten this wrong so far and i cant figure it out

Mark M.

If my memory servers me correctly in your previous posting of this problem you asked for the distance between the building the the first observation point. And that is the question that I answered.
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11/06/20

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Mark M. answered • 11/06/20

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Draw and label a diagram!

h represents the height of the building

x represents the distance from the building to the first observation point


x / h = cot 28º

x = h cot 28º


(54.4 + x) / h = cot 21.3º

54.4 + x = h cot 21.3º

x = h cot 21.3º - 54.4


h cot 28º = h cot 21.3º - 54.4


Can you solve for h and answer?




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