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Solve the all parts of following problem given below:
Problem: A fishing boat in the ocean is moving at a speed of 27.0 km/h and heading in a direction of 40.0° east of north. A lighthouse spots the fishing boat at a distance of 19.0 km from the lighthouse and in a direction of 15.0° east of north. At the moment the fishing boat is spotted, a speedboat launches from a dock adjacent to the lighthouse. The speedboat travels at a speed of 60.0 km/h and heads in a straight line such that it will intercept the fishing boat.
Part A: How much time does the speedboat take to travel from the dock to the point where it intercepts the fishing boat?
min
Part B: In what direction does the speedboat travel? Express the direction as a compass bearing with respect to due north.
° east of north
Please, show work so I can understand the concept. Thank you.
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