9514 1404 393
Answer:
73.5 km
Step-by-step explanation:
The magnitude can be found from the law of cosines. The angle between the two vectors is 140°, so the magnitude is ...
c^2 = a^2 + b^2 -2ab·cos(C)
c^2 = 32^2 +46^2 -2·32·46·cos(140°) ≈ 5395.2348
c = √5395.2348 ≈ 73.452
The magnitude of the resultant vector is about 73.5 km.
