SOLUTION: A man drove 12 miles East from his home made a left turn at an intersection and the traveled 8 miles north to his place of work. If a road was made directly to his place of work wh

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Question 1185424: A man drove 12 miles East from his home made a left turn at an intersection and the traveled 8 miles north to his place of work. If a road was made directly to his place of work what distance would it be?
If the road was made as described above how much shorter would the mans one way trip be everyday?

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The two legs of his trip make a right triangle with the direct line path; use the Pythagorean Theorem.

d=sqrt%2812%5E2%2B8%5E2%29

You can do the calculation.

Then the one way distance saved is the difference between (12+8) and d.

Again you can do the calculation.