Answer:
The resultant vector has a direction of -69.1° or 290.9°.
Step-by-step explanation:
The x component of the resultant vector is the sum of the x components of each individual vector.
x = 40.3 cos (-35.0) + 63.3 cos (270)
x = 33.0
Similarly, the y component of the resultant vector is the sum of the y components of each individual vector.
y = 40.3 sin (-35.0) + 63.3 sin (270)
y = -86.4
The direction can be found with trigonometry:
atan(y / x)
atan(-86.4 / 33.0)
-69.1°
The resultant vector has a direction of -69.1° or 290.9°.