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
