Anthony Dufegt has survived an extremely hot day so far today and decides he's had enough of this constant struggle against the heat alone, so he decides to go to the pool. He walks out of his house and turns N 30° W then turns 100° due north, after walking for 60 meters more, he finally arrives at the pool. But alas, before he can get in, he ponders how many meters he would've walked if he could've just walked in a straight line instead. After he has finished his "underwater aerobics" class, he decides to take a different route and walks east 30 meters then turns at a bearing of 150° and continues to walk for another 80 meters until he gets home. Again, as he arrives home, he wonders how much he would've walked if had, instead, walked in a straight line.
Part 1-Law of Sines (going to the pool)
Part 2-Law of Cosines (coming back from the pool)
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