Question

A football field is 160 feet wide and 360 feet long. The coach wants to put spray paint along the diagonal of the field.

Answer 1

We can represent this as a diagram:

To find the diagonal, we can consider the right-angled triangle:

Using Pythagorean Theorem to find x, we have

`\begin{gathered} x^2=160^2+360^2 \\ x^2=25600+129600 \\ x^2=155200 \\ x=\sqrt[]{155200} \\ x=393.95\approx394\text{ fe}et \end{gathered}`

The length of the diagonal is 394 feet.