# Todd and Scott left the dining hall for a walk on two straight paths that diverge by 48°. Scott walked 580 m and Todd walked 940 m. How far apart are they?

Scott and Todd are approximately

Let's draw a picture.

From the picture, we can see that the problem is equivalent to finding the length of the third side of a triangle in which the other two sides are length

This is the perfect time to use the law of cosines.

If we let

Thus Scott and Todd are approximately

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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