`x_(1) = 5 sin (omegat + 30^(@))`
`x_(2) = 10 cos (omegat)`
Find amplitude of resultant `SHM`.

Explanation

To find the amplitude of the resultant simple harmonic motion (SHM) from the given equations \( x_1 = 5 \sin(\omega t + 30^\circ) \) and \( x_2 = 10 \cos(\omega t) \), we can follow these steps:

### Step 1: Identify the Amplitudes
From the equations, we can identify the amplitudes of the two SHM components:
- For \( x_1 = 5 \sin(\omega t + 30^\circ) \), the amplitude \( A_1 = 5 \).
- For \( x_2 = 10 \cos(\omega t) \), the amplitude \( A_2 = 10 \).

### Step 2: Determine the Phase Difference
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