Question

An object is given two initial velocities, one that has a magnitude of 60.0 ms-1 and points along a direction that is 35.0° north of east and the other has a magnitude of 55.0 ms-1 that points 15.0°, also north of east. Determine the resultant velocity of the object.

Answers

do this with north (y) and east (x) components the same way as the one you asked below.
Use the formula for resultant of two vectors.

R = √(3600 + 3025 + 2*60*55*cos20)

You should also find direction of resultant using the tan fromula

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