Calculate Work Required for a 71 kg Skier on a 30° Slope with Constant Velocity

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To calculate the work required to pull a 71 kg skier up a 30° slope, two methods can be used. The first method involves resolving the forces to find the tension in the cable and multiplying it by the distance of 55 m. The second method calculates the work done against gravity using the formula W = mgh, where h is the vertical height gained. The confusion arises from the role of velocity, which is not directly needed for calculating work in this scenario since the skier moves at a constant speed. Understanding these methods clarifies the approach to solving the problem effectively.
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A skier of mass 71 kg is pulled up a slope by a motor-driven cable.
(a) How much work is required to pull him a distance of 55 m up a 30° slope at a constant speed of 1.1 m/s

I'm having trouble trying to figure out where velocity comes into play here. Originally I was using the equation W=Fcosø ∆r and I found F using F=mgsinø. But my homework says this is wrong so I'm begging someone to help me out here.
Thanks
 
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You can answer this question one of two ways;

(1)Reslove the forces and find the tension in the cable, then multiply by the distance traveled up the slope.

(2)Find the work done against gravity (W = mgh).
 
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