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# While in a park, you walk west for 52 m, then you walk 31.3° north of west for 40 m, and finally you walk

due north for 25 m. Find the components of your final displacement (in m), from your initial to final point, along the north and west directions.

(a)

displacement component due north

m

(b)

displacement component due west

m

A ship sails a distance of 200 km due west from island A to island B. It then sails 380 km in the direction of 30.0° north of west from island B to island C.

(a)

Along a straight line, what is the distance (in km) between island C and island A?

km

(b)

Relative to island A, in what direction is island C? Express your answer as an angle north of west.

° north of west

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