Question

A soccer player stands at one corner of a field and kicks a soccer ball 95 yards to the opposite corner. If the field is 76 yards long, what is the width?

Answer 1

= 57 yards.

Explanation:

95 yards is the diagonal of the field

76 yards is the length

Find the width.

This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.

`{b}^(2) = {c}^(2) - {a}^(2) \\ {b}^(2) = {95}^(2) - {76}^(2) \\ {b}^(2) = 9025 - 5776 \\ \sqrt{ {b}^(2) } = √(3249) \\ b = 57yards`