Question

You start driving north for 24 miles, turn right, and drive east for another 10 miles. At the end of driving, what is your straight line distance from your starting point?

Answer 1

Answer:

26 miles

Step-by-step explanation:

Given: 24 miles drive to north.

          10 miles drive to east.

Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).

Now, using Pythogorean theoram to find straight line distance from starting point.

h²= a²+b²

Where, h is hypotenous

            a is opposite leg

            b is adjacent leg.

⇒h²= $24^{2} + 10^{2}$

⇒$h^{2} = 576+100$

⇒$h^{2} = 676$

Taking square root on both side, remember; √a²= ±a

⇒$h=\sqrt{676}$

∴ $h= \pm 26$

Ignoring -26 as distance cannot be negative.

Hence, 26 miles is the straight line distance from starting point.