Question 1132724: A boat leaves a marina travelling at 8 km/hr in a direction of 105 degrees. After 3 hours, the skipper sets a new course of 342 degrees and sails for 5 hours. How far is the boat from the marina ? In what direction would the skippper have to travel to return to the marina
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A boat leaves a marina travelling at 8 km/hr in a direction of 105 degrees. After 3 hours, the skipper sets a new course of 342 degrees and sails for 5 hours. How far is the boat from the marina ? In what direction would the skippper have to travel to return to the marina
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It's (another) triangle problem.
1 side is 24 km, 8 km/hr for 3 hours.
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Assuming the speed didn't change (we should not have to make assumptions), the second side is 8*5 = 40 kms
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Use the Cosine Law or the Law of Sines to find the rest of the triangle.
Email via the TY note for help, or to check your work.
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PS Boats use knots for speed, not km/hr.
Strangely enough, we used maps, UTM maps, giving coordinates in meters and kms in Vietnam, but the airspeed was in knots. Getting it wrong and going to the wrong place could be fatal.
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