A canoe has a velocity of 0.25 m/s southwest relative to the earth. The canoe is

Question

A canoe has a velocity of 0.25 m/s southwest relative to the earth. The canoe is ona river that is flowing 0.60 m/s west relative to the earth. Find the velocity(magnitude and direction) of the canoe relative to theriver.

magnitude is .458m/s
direction is ? (counterclockwise from east ispositive)

Please help for some reason im kept on getting a wrong answer Iused the arctan(y/x) already magnitude is .458m/s
direction is ? (counterclockwise from east ispositive)

Please help for some reason im kept on getting a wrong answer Iused the arctan(y/x) already

Explanation / Answer

Velocity of canoe v = 0.25 cos * ( -i ) + 0.25 sin * ( -j )                              = - 0.17677 i - 0.17677 j Velocity of the river v ' = 0.6 ( -i ) m / s                                   = -0.6 i m / s the velocity of the canoe relative to the river V =v - v '                                                                   = 0.42323 i -0.17677 j Let the V makes an angle with x- axis then tan = -0.17677 / 0.42323                                                                           = 90 + 22.66                                                                             = 112.66 degrees

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