Final answer:
The resultant velocity of the plane heading south with a velocity of 150 kilometers per hour and a tailwind of 20 kilometers per hour is 170 kilometers per hour to the south. Therefore, the correct option is C
Step-by-step explanation:
The question is asking to find the resultant velocity of a plane that is heading south with a velocity of 150 kilometers per hour and experiencing a tailwind with a velocity of 20 kilometers per hour. To find the resultant velocity, we simply add the velocity of the plane to the velocity of the tailwind, because they are in the same direction (the tailwind is pushing the plane along its path). Therefore, the resultant velocity of the plane is 150 km/h + 20 km/h = 170 kilometers/hour to the south.