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Olin [163]
3 years ago
10

A man drove 11 mi directly east from his home, made a left turn at an intersection, and then traveled 9 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:
ludmilkaskok [199]3 years ago
3 0

Answer: 14 miles

Step-by-step explanation:

In the attached figure we can see the two segments the man drove, where the d is the distance of a road that goes from the man's home directly to his work.

It should be noted that dis also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:

d=\sqrt{(11 mi)^{2} + (9 mi)^{2}}

Then:

d=14.21 mi \approx 14 mi

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