<PRE><B>Question 1106765</B>
You are standing 49 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121 meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
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Sketch the picture.
You have a right triangle with base angle = 82 deg, base = 49 meters.
Find the height::
height = base*tan(82)
h = 49*7.115 = 348.65 meters (height to top of the 86th floor)
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Total height = 348.65 + 121 = 469.65 meters = 469.7 meters when rounded
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Cheers,
Stan H.
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