Final answer:
The boat is traveling in the direction of Northeast.
Step-by-step explanation:
When a boat is traveling up a river, the direction of the boat will be affected by the direction and velocity of the river flow. In this case, the boat is traveling north at 50 m/s while the river is flowing east at 15 m/s. To determine the direction of the boat considering the river flow, we can use vector addition.
The resultant velocity of the boat can be found by adding the velocities of the boat and the river. Since the boat is traveling north and the river is flowing east, the resultant velocity will be a combination of north and east components. The magnitude of the resultant velocity can be calculated using the Pythagorean theorem:
resultant velocity = √(50^2 + 15^2) = √(2500 + 225) = √(2725) ≈ 52.2 m/s
Based on the magnitude and direction of the resultant velocity, we can determine that the boat is traveling in the direction of the resultant velocity, which is a combination of north and east. Therefore, the correct answer is C) Northeast.