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tekilochka [14]
3 years ago
7

Sighting the top of a building, a surveyor measured the angle of elevation to be 60 degrees. The measurement is taken 200 feet f

rom the building. Find the building's height. Express your answer in terms of feet and then round to two decimls.
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0
This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building

x=200
200√3≈346.41

the answer is 346.41 feet

Anna [14]3 years ago
4 0
Tan(60) = opposite/200
height = 200tan(60) = 200sqrt(3) or about
346.41 ft
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