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

Question

Paige Mccoy

Mathematics

8 July, 14:18

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

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Answers (2)

Know the Answer?

Leslie Frank · Answer 1

Approximately 86.8 ft.

Smirk · Answer 2

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