Calculating Wind Velocity: Solving for Magnitude and Direction

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To determine the wind's velocity, a diagram of the velocity vectors on a coordinate system is recommended for better visualization. The airplane's cruising speed is 1000 km/h heading south, but it must adjust its course to S15°W to maintain that heading, indicating the presence of wind. The calculated wind velocity is proposed to be 261 km/h at E7.5°S, though the accuracy of this answer is questioned. The distance of 1500 km appears to be extraneous information unless it serves a larger context in the problem. Clarifying the relationship between the vectors and the wind's impact on the airplane's course is essential for accurate calculations.
Chocolaty
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I just can't figure out how to determine the magnitude and direction of the wind's velocity with this information, the combinasons of possibilities seem endless.

An airplane traveling at a cruising velocity of 1000 km/h is headed south toward a destination of 1500 km away. In order to maintain its southward heading, the airplane must travel on a course [S15°W].

Determine the magnitude and direction of the wind's velocity.

Thanks in advance
 
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Hint: Try drawing a diagram of the velocity vectors on a coordinate system to visualize what's going on.
 
I'm coming up with 261 km/h [E7,5°S]

I'm not too sure about this answer though, can anyone tell me if I'm right or not?
 
add two of the vectors and see if you come up with the third
 
I'm not too sure why they give you the 1500km away, unless there's more to the question. I'm sorry if my diagram is rudimentary.
 

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