To the nearest foot, how much farther does the jogger run by traveling the two sides of the block rather than the diagonal distance across the lot?

Question

 jogger runs along two sides of an open rectangular lot.

400'

800'

A rectangle. The top and bottom sides are longer than the left and right sides. A diagonal goes from the top right corner to the bottom left corner.

1. The diagonal is labeled 800'.
2. The right side is labeled 400'.
3. The angle formed by the diagonal and the right side is labeled "?".

If the first side of the lot is 400 ft long and the diagonal distance across the lot is 800 ft, what is the measure of the angle (in degrees) formed by the 400 ft and 800 ft dimensions?

 °

To the nearest foot, how much farther does the jogger run by traveling the two sides of the block rather than the diagonal distance across the lot?

Answer 1

306 feet shorter distance

1200 long way

894 short way

difference is 306