SOLUTION: A surveyor is 100 meters from a building.He finds that the angle of elevation to the top of the building is 23 degrees if the surveyor's eye level is 1.55 meters above the ground f

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Question 860461: A surveyor is 100 meters from a building.He finds that the angle of elevation to the top of the building is 23 degrees if the surveyor's eye level is 1.55 meters above the ground find the height of the building
Answer by stanbon(75887) About Me  (Show Source):
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A surveyor is 100 meters from a building.He finds that the angle of elevation to the top of the building is 23 degrees if the surveyor's eye level is 1.55 meters above the ground find the height of the building
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Draw the picture.
You have a right triangle with base = 100 meters
base angle = 23 degrees.
Side opposite the 23 degrees is height of the bldg - 1.55 meters
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Equation:
tan(23) = (b-1.55)/100
b-1.55 = 100*tan(23) = 42.44
bulilding height = 42.45+1.55 = 44 meters,
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Cheers,
Stan H.