## 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

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## Answers ( )

Answer:The answer to your question is 39 lb

Step-by-step explanation:DataForce = 60 lb

angle = 40°

vertical component = ?

ProcessTo 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 hypotenusesin Ф = Opposite side / hypotenuse

– Solve for Opposite sideOpposite side = hypotenuse x sin Ф

– SubstitutionOpposite side = 60 x sin 40

– SimplificationOpposite side = 60 x 0.64

– ResultOpposite side = 38.56 ≈ 39 lb