A ship leaves the island of Guam and sails a distance 265 km at an angle 41.0 north of west.

***In which direction must it now head so that its resultant displacement will be 130 km directly east of Guam? (Express your answer as an angle measured south of east)
***How far must it sail so that its resultant displacement will be 130 km directly east of Guam??

1 answer

distance sailed+ new distance= 130E
265cos41 W + 265sin41 N + XX E + YY S =-130W

so on the left combine the Directons (remember W=-E), and S=-N
solve for XX and YY