Question

How long is a string from the top of a 8ft pole to a point 5 ft from the base of the pole?

Answer 1

8^2 + 5^2 = 64 + 25 = 89

sqrt(89).. simplyfy if need be

Answer 2

sqrt89

Answer 3

A Trig solution:
\[\text{StringLength}=8\text{Csc}\left[\text{ArcTan}\left[\frac{8}{5}\right]\right]=\sqrt{89} \]