Joe\'s boat leaves the harbor and heads straight for Treasure Island, which is 3

Question

Joe's boat leaves the harbor and heads straight for Treasure Island, which is 31 degrees North of West. Joe travels 24 km to reach the island. Moe leaves a little while later and first heads North to try and get a glimpse of some dolphins (that had earlier been sighted by her friends). Moe travels 11 km due North and reaches Nomans island. At this point she is disappointed at having seen no dolphins and heads straight for Treasure Island. What is the distance traveled by Moe from Nomans island to Treasure island?

Explanation / Answer

so the distance between two points is given by distance = sqrt( (x1 - x2)^2 + (y1 -y2)^2) distance = sqrt( (-24*cos(31)-0)^2 + (24*sin(31) - 11)^2)=20.6 km

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