# How far did the skater skate from point A to B?

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A skater ⛸️ skated along a straight path from point **A** to point **B** . Consider the following:

- Two streets that intersect at point
**C** also intersect the path at points **A** and **B** .
- Street
**AC = 0.6 mi** and street **BC = 1.2 mi** .
- The included angle at
**C = 107°** .

How far did the skater skate from point **A** to **B** ?

Thank you friends.

A skater ⛸️ skated along a straight path from point **A** to point **B** . Consider the following:

- Two streets that intersect at point
**C**also intersect the path at points**A**and**B**. - Street
**AC = 0.6 mi**and street**BC = 1.2 mi**. - The included angle at
**C = 107°**.

How far did the skater skate from point **A** to **B** ?

Thank you friends.

##### 1 Answer

Nov 27, 2017

See below.

#### Explanation:

Not absolutely clear on the question, could have done with a sketch.

From the known information we can find length AB using the cosine rule:

Cosine Rule: