A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 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?

Question

Mathematics

Moss

13 June, 13:20

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 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?

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Answers (1)

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Tania Hall · Answer 1

This would make a right triangle. Use the Pythagorean theorem to solve.

X = sqrt (14^2 + 3^2)

X = sqrt (196 + 9)

X = sqrt (205)

X = 14.3178

Rounded = 14.3 miles