# A Coast Guard cutter detects an unidentified ship at a distanceof 20.0 km in the direction 15.0° east of north. The shipis traveling at 26.0 km/h on a course at 40.0° east of north.The Coast Guard wishes to send a speedboat to interceptand investigate the vessel. (a) If the speedboat travels at 50.0km/h, in what direction should it head? Express the directionas a compass bearing with respect to due north. (b) Find thetime required for the cutter to intercept the ship.

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A Coast Guard cutter detects an unidentified ship at a distance
of 20.0 km in the direction 15.0° east of north. The ship
is traveling at 26.0 km/h on a course at 40.0° east of north.
The Coast Guard wishes to send a speedboat to intercept
and investigate the vessel. (a) If the speedboat travels at 50.0
km/h, in what direction should it head? Express the direction
as a compass bearing with respect to due north. (b) Find the
time required for the cutter to intercept the ship.

check_circle

Step 1

(a) Consider the diagram below.

Step 2

Along the direction of east,

Step 3

Direct with respect ...

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