How far from the base of an 18 foot tall polemust a person be standing if the angle of eleva-tion from the ground to the pole is 41°?

To solve this problem, we can use the tangent of the angle of elevation, which is the opposite side (height of the pole) divided by the adjacent side (distance from the pole).

The formula is: tan(θ) = opposite/adjacent

We know the opposite side (height of the pole) is 18 feet and the angle of elevation (θ) is 41°. We want to find the adjacent side (distance from the pole).

Rearranging the formula to solve for the adjacent side gives us: adjacent = opposite/tan(θ)

Substituting the given values into the formula gives us: adjacent = 18/tan(41°)

Using a calculator to find the tangent of 41 degrees and then divide 18 by that number, we get approximately 21.97 feet.

So, a person must be standing approximately 21.97 feet from the base of the pole.