"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile? "

This problem can be directly solved using the hypotenuse formula. Taking 10 mi and 5 mi as the two sides of the triangle, we find for the hypotenuse (distance directly from his home to his place of work):

c^2 = 10^2 + 5^2

c^2 = 100 + 25

c = 11.18 m

c = 11.2 meters

the distance between point a and point b is 6 units