Problem

A batter in a baseball game drops a bunt down the…

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Problem 27 Medium Difficulty

An in-line skater skates on a fitness trail along the Pacific Ocean from point $A$ to point $B$. As shown below, two streets intersecting at point $C$ also intersect the trail at $A$ and $B$. In her car, the skater found the lengths of $A C$ and $B C$ to be approximately $0.5 \mathrm{mi}$ and $1.3 \mathrm{mi}$, respectively. From a map, she estimates the included angle at $C$ to be $110^{\circ} .$ How far did she skate from $A$ to $B ?$
CAN'T COPY THE FIGURE

Answer

About $1.5 \mathrm{mi}$

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Video Transcript

No, we have you it And inland Skittles kids on a fitness trail along the Pacific Ocean From point A to point B s only here. So here he didn't give in there. This is the track here. This is the place. And he found that this is a track A and B. He skates along this so Seascapes along this No, you didn't give up. There is. He equals to one point. It is 1.0.5 miles. So here it is in C. You did issue equals toe 0.5 miles and we see photo 1.3 miles. So this is a B. C. So see, this is 1.3 miles and this point by my 25 miles and anger, including this is 110 days. Now we have to find this side that is side. See, we have to find the length off small c so we can fight Sitek CS Query cause toe a squared plus B squared minus two A because off, including angle that 110 days. So this is a small B and this is Smalley now a great diesel. So this will live point to flight 1.2. You told him 1.3 to this square because 2.5 and this is Mississippi. Two multiplied with this is minus. Sign two multiplied with 20.5 multiplied with 1.3 multiplied with course off 110 daily. By solving we get by solving this we get 11.69 point 25 minus 0.444 and see a square will be for one point here. 1.496 The Sikh was too. C equals to root off 1.496 does C E questo 1.231 point 2 to 3 miles. No, the skater is kids. One point Don't go three miles.

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