The rope makes an angle of 28° with the horizontal.
Work is the product of force and displacement. It is given by:
Work = Force along direction of displacement * displacement
If the force is acting at an angle, the work done is:
Work (W) = (Fcosθ) * s
F is the force, s is the displacement and θ is the angle of force.
Given that W = 247J, F = 40N, s = 7 m, hence:
247 = 40cosθ * 7
cosθ = 0.88
θ = 28°
The rope makes an angle of 28° with the horizontal.
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