If a force of 60 pounds acts at an angle of 40° to the horizontal, what is its vertical component? 20 lb 35 lb 39 lb 46 lb

Question

If a force of 60 pounds acts at an angle of 40° to the horizontal, what is its vertical component? 20 lb 35 lb 39 lb 46 lb

in progress 0
Autumn 2 hours 2021-10-14T12:46:52+00:00 1 Answer 0

Answers ( )

    0
    2021-10-14T12:48:06+00:00

    Answer:

    The answer to your question is 39 lb

    Step-by-step explanation:

    Data

    Force = 60 lb

    angle = 40°

    vertical component = ?

    Process

    To answer this question, we must imagine a right triangle where the force gave is the hypotenuse, and the vertical component will be the opposite side to the 40° angle.

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

              sin Ф = Opposite side / hypotenuse

    – Solve for Opposite side

              Opposite side = hypotenuse x sin Ф

    – Substitution

              Opposite side = 60 x sin 40

    – Simplification

              Opposite side = 60 x 0.64

    – Result

              Opposite side = 38.56 ≈ 39 lb

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )