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# Tutor profile: Sarah G.

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Sarah G.
Math Tutor for 5 Years
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## Questions

### Subject:Geometry

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Question:

Ginny wants to go straight from college to her house. Ginny's college is 15 kilometers north of the library. The library is 7 kilometers east of Ginny's house. Assuming there are roads going straight between each location, how far must Ginny drive to get from her college to her house?

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Sarah G.

To solve this, we can either use the distance formula or Pythagorean theorem (as the former is derived from the latter). We can set up an equation using Pythagorean theorem like so: $( 15^{2}+7^{2}=d^{2}\\ 225+49 =d^{2}\\ 274=d^{2}\\ d\approx16.56$) Therefore, Ginny must drive 16.56km to get straight home from college. Note that we took the square root of both sides of the equation for the last step.

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