Answer:
The resultant vector has a magnitude of 4998 m and a direction of 45.7°.
Explanation:
The x component of the resultant vector is the sum of the x components of each individual vector.
x = 3250 cos 38.4 + 1822 cos 58.8
x = 3490.8
Similarly, the y component of the resultant vector is the sum of the y components of each individual vector.
y = 3250 sin 38.4 + 1822 sin 58.8
y = 3577.2
The magnitude can be found with Pythagorean theorem:
√(x² + y²)
√(3490.8² + 3577.2²)
4998
The direction can be found with trigonometry:
atan(y / x)
atan(3577.2 / 3490.8)
45.7°
The resultant vector has a magnitude of 4998 m and a direction of 45.7°.
