Question

A ship travels 10 miles from Point A to Point B, makes a turn of 112, and travels 16 miles to Point C. If the ship travels directly from Point C back to Point A, how many miles will it travel on the last leg of the trip (from Point C to Point A)? Round your answer to the nearest tenth of a mile.

Answer 1

This is Pythagorean's Theorem, with one leg being 10 and the hypotenuse being 16.  Using those values in the theorem looks like this:
$10^{2} + b^{2} = 16^{2}$
and $100+ b^{2} =256$
and $b^{2} =256-100$
so $b^{2} =156$
Take the square root of both sides to find that b = 12.5