QUESTION Joe\'s boat leaves the harbor and heads straight for Treasure Island, w

Question

QUESTION

Joe's boat leaves the harbor and heads straight for Treasure Island, which is 32 degrees North of West. Joe travels 21 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 15 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?

ANSWER: ____km

Explanation / Answer

here,

the distance of Treasure land , d1 = 21 * ( - cos(32) i + sin(32) j) km

d1 = - 17.8 i km + 11.13 j km

the initial distance travelled by the Moe , d2 = 15 km j

the displacement vector traveled by Moe from Nomans island to Treasure island , d = d1 - d2

d = - 17.8 i km - 3.87 j km

distance traveled by Moe from Nomans island to Treasure island , |d| = sqrt(17.8^2 + 3.87^2) km

|d| = 18.2 km

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