Answer:
80 miles
Explanation:
A diagram representing the given problem is attached below:
The distance from Oxford to Vicky's house is labeled x in the diagram.
To find the value of x, we make use of the Pythagorean Theorem.
[tex]\begin{gathered} \text{Hypotenuse}^2=\text{Opposite}^2+\text{Adjacent}^2 \\ \implies89^2=39^2+x^2 \end{gathered}[/tex]We solve for x.
[tex]\begin{gathered} x^2=89^2-39^2 \\ x^2=(89-39)(89+39) \\ x^2=50\times128 \\ x^2=6400 \\ x^2=80^2 \\ \implies x=80 \end{gathered}[/tex]The distance from Vicky's house to Oxford is 80 miles.
