A hiker is helping a friend up a hill that makes an angle of (30^{circ}) with level

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A hiker is helping a friend up a hill that makes an angle of \(30^{\circ}\) with level ground. The hiker, who is farther up the hill, is pulling on a cable attached to his friend. The cable is parallel to the hill so that it also makes an angle of \(30^{\circ}\) with the horizontal. If the coefficient of static friction between the soles of the hiker's boots and the surface of the hill is 0.80 and his inertia is \(65 \mathrm{~kg}\), what is the maximum magnitude of the force he can exert on the cable without slipping?

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