Question

5) Johnson rides his scooter to school on Thursdays. He travels 0.5 miles east, then 1.25 miles south toget there. A map of his route has a scale where 5 inches represents 2 miles. What is the total distanceJohnson rides to school on the map?لكى

Answer 1

We can use pythagorean theorem to find the total distance:

$\begin{gathered} d=\sqrt[]{a^2+b^2} \\ _{\text{ }}where\colon \\ a=0.5mi \\ b=2mi \end{gathered}$

We need to make a conversion first, using the scale factor provided by the problem:

$\begin{gathered} a=0.5\cdot\frac{2}{5}=0.2mi \\ b=1.25\cdot\frac{2}{5}=0.5mi \end{gathered}$

Therefore:

$\begin{gathered} d=\sqrt[]{(0.2)^2+(0.5)^2} \\ d=\frac{\sqrt[]{29}}{10} \\ d\approx0.5385mi \end{gathered}$

Answer:

0.5385mi