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?

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

Approximately 86.8 ft.