When a boy pulls his sled with a rope, the rope makes an angle of 70° with the horizontal. If a pull of 20 pounds on the rope is needed to m

Question

When a boy pulls his sled with a rope, the rope makes an angle of 70° with the horizontal. If a pull of 20 pounds on the rope is needed to move the sled, what is the horizontal component force? 7 lb 19 lb 20 lb 24 lb

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Abigail 1 hour 2021-10-14T12:00:41+00:00 1 Answer 0

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    2021-10-14T12:01:58+00:00

    Answer:

    The answer to your question is 7 lb

    Step-by-step explanation:

    Data

    angle = 70°

    force = 20 lb

    horizontal component

    Process

    To solve this problem just imagine a right triangle, where the force is the hypotenuse and the horizontal component is the adjacent side.

    1.- Look for a trigonometric function that relates the adjacent side and the hypotenuse.

                       cos Ф = adjacent side / hypotenuse

    – Solve for the adjacent side

                       adjacent side = hypotenuse x cosФ

    – Substitution

                       adjacent side = 20 x cos 70

    – Simplification

                       adjacent side = 20 x 0.342

    – Result

                       adjacent side = 6.84 ≈ 7 lb  

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