Question

a spaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. the captain orders the ship to travel ( 2.1 \times 10^6 ) kilometers, then turn ( 70^circ ), and travel an additional ( 1.3 \times 10^6 ) kilometers to reach the space station. if the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it had traveled through the nebula?
(magnitude: km, direction: counterclockwise from the +x axis)

Explanation:

Answer:

magnitude: $2.8 \times 10^6$ km
direction: $-25.5^\circ$ counterclockwise from the $+x$ axis