A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of

Question

3 years ago

12

A man drove 14 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?

Mathematics

1 answer:

Stels [109] · Answer 1 · 2022-05-20T11:39:24+03:00

Answer:

14.9 miles

Step-by-step explanation:

If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.

We can use the pythagorean theorem to find the length of the hypotenuse, or the new road:

a² + b² = c²

14² + 5² = c²

221 = c²

14.9 = c

= 14.9 miles