David runs out of gas so he gets out of his car and walks 32 yards north and 85 blocks yards east. How far is he from his car if he walked back in a straight line? Round your answer to the nearest tenth. Click Here for Help Video.

Question

(1 point)
David needs to walk about
yards

Answer 1

David walks 32 yards north and 85 yards east, forming a right triangle with his car as the right angle.

Using the Pythagorean theorem, we can find the distance between David's starting point and his ending point (his car).

The formula is as follows:

Distance = sqrt((32^2) + (85^2))

Distance = sqrt(1024 + 7225)

Distance = sqrt(8249)

Distance ≈ 90.8 yards

Therefore, David needs to walk about 90.8 yards to get back to his car.