SOLUTION: You live in a cabin exactly two miles north of a stream that flows east-west. Your grandmother lives 12 miles west and 1 mile north of your cabin. You want to visit your grandmothe

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Question 571441: You live in a cabin exactly two miles north of a stream that flows east-west. Your grandmother lives 12 miles west and 1 mile north of your cabin. You want to visit your grandmother and take her some cold water from the stream. What is the shortest distance you must travel in order to leave your cabin, go to the stream, and take the water to your grandmother? I keep getting answers with decimals but am told none in the answer. I get sqrt 153 + 2 or 14.36931688?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You live in a cabin exactly two miles north of a stream that flows east-west. Your grandmother lives 12 miles west and 1 mile north of your cabin. You want to visit your grandmother and take her some cold water from the stream. What is the shortest distance you must travel in order to leave your cabin, go to the stream, and take the water to your grandmother?
:
The way I understand it, the distance from your house to a point on the stream that is due south of Grandmas would be the hypotenuse
h = sqrt%2812%5E2%2B2%5E2%29
h = sqrt%28148%29
Plus 3 mi due north:
Total distance (d):
d = 3%2Bsqrt%28148%29
you could simplify it
d = 3%2Bsqrt%284%2A37%29
d = 3%2B2sqrt%2837%29