Question

Suppose that you are headed toward a plateau 25.1 meters high. If the angle of elevation to the top of the plateau is 16.5, how far are you from the base of the plateau? meters (Round your answer to the nearest tenth.)

Answer 1

Suppose that you are headed toward a plateau 25.1 meters high. If the angle of elevation to the top of the plateau is 16.5, how far are you from the base of the plateau? meters (Round your answer to the nearest tenth.)​

we have that

tan(16.5)=25.1/x

x is the missing distance

solve for x

x=25.1/tan(16.5)

x=84.7 m

the answer is 84.7 meters