Question

Dover is 70 miles due North of the airport, and Oakdale is due east of the airport. If the distance between Dover and Oakdale is 74 miles,how far is Oakdale from the airport?

Answer 1

24 miles

Step-by-step explanation

we have a rigth triangle, so we can use the Pythaogram theorem,

it states

`a^2+b^2=c^2`

then,

Step 1

let x represents the uinknow value,

hypotensuse=74 miles

leg1=70 miles

leg2=x

now, replace

`\begin{gathered} a^2+b^2=c^2 \\ 70^2+x^2=74^2 \\ 4900+x^2=5476 \\ \text{subtract 4900 in both sides} \\ 4900+x^2-4900=5476-4900 \\ x^2=576 \\ \text{square root in both sides} \\ \sqrt[]{x^2}=\sqrt[]{576} \\ x=24 \end{gathered}`

hence, the distance from Oakdale to the airport is 24 miles.

I hope this helps you