SOLUTION: A surveyor measures the angle of elevation of eye level to the top of a building 60 metres. If he is standing 40 metres away from the building and is 1.6 metres tall. How tall is t

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Question 691248: A surveyor measures the angle of elevation of eye level to the top of a building 60 metres. If he is standing 40 metres away from the building and is 1.6 metres tall. How tall is the building?

can you please help me out i dont really get this question? thanks in advance
for the first question it is the distance from his eye to the top of the building is 60 meters
Answer by stanbon(75887) About Me  (Show Source):
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A surveyor measures the angle of elevation of eye level to the top of a building 60 metres. If he is standing 40 metres away from the building and is 1.6 metres tall. How tall is the building?
can you please help me out i dont really get this question? thanks in advance
for the first question it is the distance from his eye to the top of the building is 60 meters
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Draw the picture:
You have a right triangle
hypotenuse = 60 meters
base = 40 meters
height = sqrt(60^2-40^2) = sqrt(3200) = 40sqrt(2) meters
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Total height of the building is 1.6 meters + 40sqrt(2) meters
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Approximate answer: 1.6+40sqrt(2) = 58.169 meters (height of the bldg)
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Cheers,
Stan H.
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