Hassan is looking up at a flagpole that is 60 feet away from him (distance along the ground) at an angle of elevation from ground level of
40°
.
To find the height of the flagpole, we can use the tangent function.
tangent(angle) = opposite/adjacent
In this case, the angle of elevation is 40° and the adjacent side is the distance from Hassan to the flagpole, which is 60 feet. Let's denote the height of the flagpole as H.
So, tangent(40°) = H/60
H = 60 * tangent(40°)
Using a calculator, we can find the tangent of 40°:
H ≈ 60 * 0.8391
H ≈ 50.35
Therefore, the height of the flagpole is approximately 50.35 feet.