Two forces whose magnitudes are in the ratio `3:5` give a resultant of 28N. If the angle of their inclination is `60^@`, find the magnitude of each force.

Explanation

To solve the problem step by step, we will follow the given information and apply the law of cosines to find the magnitudes of the two forces.

### Step 1: Define the forces
Let the magnitudes of the two forces be \( A \) and \( B \). According to the problem, the ratio of the magnitudes of the forces is \( 3:5 \). We can express these forces in terms of a variable \( x \):
- \( A = 3x \)
- \( B = 5x \)

### Step 2: Write the equation for the resultant
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