The angle 65 degrees from the ground. The cable is 32 feet from the ground to the pole. When we draw this correctly, we get a right triangle. The bottom leg of the triangle is 32 feet, the bottom angle is 65 degrees, and the hypotenuse is the length of the cable.
We can use the cosine function, since we have a known side length next to the angle. We want to find the hypotenuse.
cos(65) = 32 / x
x = length of cable
x = 32 / cos(65)
x = 76
The length of the pole is 76 feet.