Question

16. A car leaves a parking lot and travels directly north for

6 miles. It then turns and travels 8 miles east. How many
miles is the car from the parking lot?

Answer 1

The car is 10 miles from parking lot.

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;

`a^2+b^2=c^2\\(6)^2+(8)^2= c^2\\c^2 = 36 + 64 \\c^2 = 100`

Taking square root on both sides

`√(c^2)=√(100)\\c=10`

Hence,

The car is 10 miles from parking lot.