Answer:
5.87 m, 75.5°
Explanation:
Let's say C is the resultant vector.
The x component is the sum of the x components of A and B.
Cx = Ax + Bx
Cx = 10.1 cos 60° + 7.3 cos 275°
Cx = 5.69
The y component is the sum of the y components of A and B.
Cy = Ay + By
Cy = 10.1 sin 60° + 7.3 sin 275°
Cy = 1.47
The magnitude is found with Pythagorean theorem, and the angle is found with trigonometry.
C² = Cx² + Cy²
C² = 5.69² + 1.47²
C = 5.87
θ = atan(Cy / Cx)
θ = atan(5.69 / 1.47)
θ = 75.5°
