SOLUTION: Mike and Sandra leave their house. Mike travels northward for 4 miles to get to his job, and Sandra travels west for 3 miles to get to her job. Find out how many miles apart they

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Question 882972: Mike and Sandra leave their house. Mike travels northward for 4 miles to get to his job, and Sandra travels west for 3 miles to get to her job. Find out how many miles apart they work.
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
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First of all, draw a picture of what is going on! Here is my rendition:

As you can see, the paths that Mike and Sandra take are at right angles to each other, and thus create a right triangle whose hypotenuse is the distance between their workplaces. To solve for this distance (which I will call D), simply use the Pythagorean theorem:
a%5E2+%2B+b%5E2+=+c%5E2
%28side%5B1%5D%29%5E2+%2B+%28side%5B2%5D%29%5E2+=+hypotenuse%5E2
4%5E2+%2B+3%5E2+=+d%5E2
16+%2B+9+=+d%5E2
25+=+d%5E2
d = 5
***
Therefore, Mike and Sandra work five miles apart.
Let me know if you need further clarification! =)