Given:
One of the rectangular components of a force = 20N
Total force = 40N

To Find:
The angle it makes with this component

Solution:

Step 1: Understanding the Problem
We have a rectangular component of a force and we need to find the angle it makes with this component. To solve this problem, we will use trigonometric principles and the given information.

Step 2: Drawing a Diagram
To visualize the problem, let's draw a diagram. We have a force vector F, and one of its rectangular components is given as Fx = 20N.

Step 3: Identifying the Known and Unknown Values
Known values:
- Fx = 20N
- F = 40N

Unknown value:
- Angle between F and Fx

Step 4: Applying Trigonometry
We can use the trigonometric relationship between the components of a force and the angle to find the unknown angle.

The relationship is given by:
cos(θ) = Fx / F

Using this equation, we can find the value of cos(θ) by substituting the known values:
cos(θ) = 20N / 40N
cos(θ) = 0.5

Step 5: Finding the Angle
To find the angle θ, we can take the inverse cosine (also known as arccos) of both sides of the equation:
θ = arccos(0.5)

Using a calculator or a trigonometric table, we find that arccos(0.5) is equal to 60 degrees.

Step 6: Answer
The angle between the force vector and its rectangular component of 20N is 60 degrees.

60 degree