Answer:
B = 191.26 cm
θ = -14.73°
Explanation:
given,
magnitude of the first displacement(A) = 146 cm
at an angle of 124°
resultant magnitude = 137 cm
and angle made with x-axis by the resultant(R) = 32.0°
component of A in X and Y direction
A x = A cos θ  = 146 cos 120° = -73 cm
A y = A sin θ = 146 sin 120° = 126.4 cm
now component of resultant in x and y direction
R x = 137 cos 35°
  = 112.2 cm
R y = 137 sin 35°
   = 78.6 cm
resultant is the sum of two vectors
R = A + B
R x = A x + B x
B x = Â 112.2 - (-73) = 185.2 cm
B y = R y - A y
B y = 78.6 - 126.4 = -47.8 cm
magnitude of B
B = [tex]\sqrt{B_x^2+B_y^2}[/tex]
B = [tex]\sqrt{185.2^2+-47.8^2}[/tex]
B = 191.26 cm
angle[tex]\theta = tan^{-1}\dfrac{-47.8}{185.2}[/tex]
θ = -14.73°
