Find the vector V which makes an angle of 100 degrees with t

Find the vector V which makes an angle of 100 degrees with the vector W=-7i+3j and which is of the same length as W and is counterclockwise to W .

Alright note the distance formula:

d=(x²+y²) = D_w= (-7²+3²)=(49+9)=58

tan = V_x/V_y => = tan^-1(-7/3) = 22.267 degrees above the x-axis in the second quadrant or

180 -22.267 =157.733 + 100 = 257.733 which is in the third quadrant

Then V_y=D_wsin = 58sin(257.733)= -7.44

V_x = D_wcos = 58cos(257.733) = -1.618