Answer:
The car is 10 miles from parking lot.
Step-by-step explanation:
Given that:
The car travels 6 miles north and 8 miles east.
This forms the two legs of a right angled triangle.
The distance from car to parking lot will be hypotenuse.
Using Pythagorean theorem;
[tex]a^2+b^2=c^2\\(6)^2+(8)^2= c^2\\c^2 = 36 + 64 \\c^2 = 100[/tex]
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{100}\\c=10[/tex]
Hence,
The car is 10 miles from parking lot.
