Question

i need help i have tried everything and i cant get the answer.......see pic below
A rope that is 50 feet long is attached to the top of a flagpole. The rope reaches the ground 20 feet from the base of the pole. Find the height of the flagpole.

Answer 1

\[
50^2 = 20^2 + (\text{height})^2
\]

Answer 2

cos(x) = 20 / 50 = .4
arccos(.4) = 66.4218
sin(66.4218) = x / 50
.9165 * 50 = x
x = 45.8258
The height is 45.8258 ft

OR

you can just do the Pythagorean theorem like he did