Illustrate with a diagram. a force 150 newtons is inclined at 50 degrees to the horizontial direction. find its component in the horizontial and vertical directions

The horizontal component is 96.42 N

The vertical component is 114.91 N

Explanation:

A force 150 newtons is inclined at 50 degrees to the horizontal direction

We need to find its component in the horizontal and vertical directions

is the horizontal component

is the vertical component

Look to the attached figure:

The horizontal component is the product of F and cosine

the angle between F and the horizontal

The vertical component is the product of F and sine

the angle between F and the horizontal

→ = F cos(50)

→ = 150 cos(50)

→ = 96.42 N

→ = F sin(50)

→ = 150 sin(50)

→ = 114.91 N

The horizontal component is 96.42 N

The vertical component is 114.91 N

answer; equivalent to a one(1) horsepower motor;