Question

You start driving north for 7 miles, turn right, and drive east for another 24 miles. At the end of driving, what is your straight line distance from your starting point?

Answer 1

Answer:

$AC = 25\ miles$

Step-by-step explanation:

Given:

Distance for north side = 7 miles.

Distance for east side = 24 miles.

We need to find the displacement.

Solution:

Figure shows Point A is starting point and AB = 7 miles is North side distance and BC = 24 miles is east side distance and AC is shown as displacement.

Using Pythagoras theorem to find displacement (AC).

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

Substitute AB = 7 and BC = 24 in above equation.

$(AC)^{2}=(7)^{2}+(24)^{2}$

$(AC)^{2}=49+576$

$(AC)^{2}=625$

$AC = \sqrt{625}$

$AC = 25\ miles$

Therefore, displacement of the car $AC = 25\ miles$