Question

Tonya leaves home on her motorcycle and travels 12 miles east and 7 miles north. How far in Tonya from her original starting point?

Answer 1

The distance is 13.892 miles.

Given:

Distance travelled in east is 12 miles.

Distance travelled in north is 7 miles.

The objective is to find how far is tonya from the starting point.

The distance between starting point and ending point can be calculated using Pythagorean theorem.

Consider the given figure as,

By applying Pythagorean theorem,

`AC^2=AB^2+BC^2`

Now, substitute the given values in the above formula.

`\begin{gathered} x^2=12^2+7^2 \\ x^2=144+49 \\ x^2=193 \\ x=\sqrt[]{193} \\ x=13.892 \end{gathered}`