Question

A car travels 28 miles north and then turns east. How far did the car travel east if the destination is 53 miles from the starting point?

Answer 1

█ Explanation █

✦ Find the square of the hypotenuse. Let 'd' stand for the distance.
✦
`53^(2) = 28^(2) + d^(2)`
✦
`53^(2) - 28^(2) = d^(2)`
✦ Solve for the difference.
✦
`(53+28)(53-28)= d^(2)`
✦
`81*25= d^(2)`
✦
`d^(2) = 2025`
✦
`d= √(2025) = 45 miles`

Answer: The car traveled 45 miles east.

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia