Afishing boat in the ocean is moving at a speed of 25.0 km/h and heading in a direction of 40.0° east of north. a lighthouse spots the fishing boat at a distance of 23.0 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 46.0 km/h and heads in a straight line such that it will intercept the fishing boat.

(a) how much time does the speedboat take to travel from the dock to the point where it intercepts the fishing boat?

(b) in what direction does the speedboat travel? express the direction as a compass bearing with respect to due north.