We are given a right triangle with legs of length 45 mi and 60 mi. We are asked to find the length of the hypotenuse, $c$, and round to the nearest tenth.

1. Problem Description

We are given a right triangle with legs of length 45 mi and 60 mi. We are asked to find the length of the hypotenuse, $c$, and round to the nearest tenth.

2. Solution Steps

We can use the Pythagorean theorem to find the length of the hypotenuse. The Pythagorean theorem states that in a right triangle with legs of length $a$ and $b$ and hypotenuse of length $c$, the following equation holds:

$a^2 + b^2 = c^2$

In this problem, we have $a = 45$ mi and $b = 60$ mi. We want to find $c$.

Substituting the values of $a$ and $b$ into the Pythagorean theorem, we have:

$45^2 + 60^2 = c^2$

$2025 + 3600 = c^2$

$5625 = c^2$

Taking the square root of both sides, we get:

$c = \sqrt{5625} = 75$

3. Final Answer

The length of the hypotenuse is 75 miles.

Final Answer: 75.0