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Likurg_2 [28]
3 years ago
9

amari is standing 50 feet from the base of a building. from where he stands, the angle formed from the top of the building to wh

ere he stands is 60 degrees. how tall is the building?

Mathematics
2 answers:
allsm [11]3 years ago
7 0
Approximately 86.8 ft. 
lisabon 2012 [21]3 years ago
5 0
Drawing it out from the top of the building as shown (we get 30 degrees because if the bottom angle is 60 and there's a right angle, 180-60-90=30),  tan30=opposite/adjacent = 1/sqrt(3)=50/x Multiplying each side by x and dividing by 1/sqrt(3), we get that 
x=50/(1/sqrt(3))= around 86.6 ft

If it's 60 degrees instead of 30,
tan60=opposite/adjacent = sqrt(3)=50/x Multiplying each side by x and dividing by sqrt(3), we get that 
x=50/sqrt(3)= around 28.87

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