Question

Stamford is 5 miles due north of the airport, and Wildgrove is due east of the airport. If the distance between Stamford and Wildgrove is 9.5 miles, how far is Wildgrove from the airport? If necessary, round to the nearest tenth.

Answer 1

Wildgrove is approximately 8.1 miles away from the airport.

Explanation:

Let's use the following variables:

x = distance between Wildgrove and the airport

Using the Pythagorean theorem:

`x^2 + 5^2 = 9.5^2`

`x^2 + 25 = 90.25`

`x^2 = 65.25`

`x = √(65.25)`

`x \thickapprox 8.1`

Therefore, Wildgrove is approximately 8.1 miles away from the airport.