Question

70 points!!!! Find the horizontal and the vertical components of f.

Answer 1

• F = (16.74, -2.95)

Step-by-step explanation:

1) Horizontal component

The horizontal component is related to the magnitude of the force by the cosine ratio:

• cos (α) = Fx / | F |

Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).

• cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74

2) Vertical component

The vertical component is related to the magnitude of the force by the sine ratio:

• sin (α) = Fy / | F |

Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).

• sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95

3) Form (x,y)

• F = (16.74, -2.95)