It is 45 yd from the base of the pole.
The pieces of the right triangle we are given are one of the legs (the height of the pole, 60 yd) and the hypotenuse (the length of the cable, 75 yd). Using the Pythagorean theorem, we have:
60²+b²=75²
3600+b²=5625
Subtract 3600 from both sides:
3600+b²-3600=5625-3600
b²=2025
Take the square root of both sides:
√(b²) = √2025
b = 45
