Question

A rope from the top of a mast on a sailboat is attached to a point 19 feet from the mast. If the rope is 28 feet long, how tall is the mast?

Answer 1

The mast is about 23ft high

Answer 2

Using the Pythagorean theorem:

Height = sqrt(28^2 -19^2)

Height = 3 sqrt47

Height = 20.57 feet ( round the answer as needed)