Find the sum u+v.

Question

|u|=47, |v|=30, θ=90°

The magnitude of the resultant vector is _____.(Round to the nearest tenth).

Find the angle that the resultant makes with u. The angle is ____°.
(Round to the nearest degree).

Answer 1

Draw a diagram.
The resultant is just the hypotenuse of the triangle with u and v as legs.

The angle t with u is

tan(t) = 30/47