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= [tex]24^{2} + 10^{2}[/tex]
⇒[tex]h^{2} = 576+100[/tex]
⇒[tex]h^{2} = 676[/tex]
Taking square root on both side, remember; √a²= ±a
⇒[tex]h=\sqrt{676}[/tex]
∴ [tex]h= \pm 26[/tex]
Ignoring -26 as distance cannot be negative.
Hence, 26 miles is the straight line distance from starting point.
