Question

You start driving north for 24 miles, turn right, and drive east for another 70 miles. How many miles must you travel to return directly back to your starting point?

Answer 1

You must travel 74 miles.

Answer 2

Answer : The distance travel to return directly back to your starting point is, 74 miles.

Step-by-step explanation :

We made a right angle ΔABC by the given directions. Now we have to determine the side

Using Pythagoras theorem in ΔABC :

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(AC)^2=(AB)^2+(BC)^2$

Given:

Side AB = 24 mile

Side BC = 70 mile

Now put all the values in the above expression, we get the value of side AC.

$(AC)^2=(24)^2+(70)^2$

$AC=\sqrt{(24)^2+(70)^2}$

$AC=\sqrt{576+4900}$

$AC=\sqrt{5476}$

$AC=74$

Thus, the distance travel to return directly back to your starting point is, 74 miles.