Calculating Tension in an Inclined Plane Problem

[BrainMan]

Problem: a 1200-N go-cart is being pulled up a 25 degree incline by a rope that makes an angle of 35 degrees with the horizontal. Neglecting all frictional effects, determine the tension in the rope necessary to pull the cart up the incline at a constant speed

Relevant equations:
Sum of the forces= 0

Attempt: The first thing I did was find the force necessary to pull the cart at a constant speed parallel to the horizontal so sin 25= x/1200 so x= 507.14. Then I treated that number like one of the sides of a right triangle and did Cos 35= 507.14/x and got x= 618.46. The correct answer is 515 N

 

[BOYLANATOR]

I think you treated it like the rope was at an angle of 35 degrees relative to the cart. Actually it is only 10 degrees.

 

[BrainMan]

Ok I see my mistake. Thanks!