Question

If you are standing 85 ft from the base of a flagpole, and determine that at ground level, you would need to look up at a 30° angle to see the top of the flagpole, how tall is the flagpole?

Answer 1

The height of the flagpole is approximately 49.18 ft.

Step-by-step explanation:

To determine the height of the flagpole, we can use the tangent function.

The tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case, the opposite side is the height of the flagpole and the adjacent side is the distance from the student to the base of the flagpole.

So we have:

tan(30°) = height of flagpole / 85 ft

Rearranging the equation, we get:

height of flagpole = 85 ft * tan(30°)

Using a calculator, we find that the height of the flagpole is approximately 49.18 ft.