A magnetic needle free to rotate in a fixed vertical plane stays in a direction making an angle of `60^@` with the horizontal. If the dip at that plane is `37^@`, find the angle of the fixed vertical plane with the meridian.

Explanation

To solve the problem step by step, we will analyze the situation involving the magnetic needle, the angles given, and the relationships between the different components of the magnetic field.

### Step 1: Understand the Given Information
We have a magnetic needle that is free to rotate in a fixed vertical plane. It makes an angle of \(60^\circ\) with the horizontal. The dip (angle of inclination) in that plane is \(37^\circ\).

### Step 2: Define the Components of the Magnetic Field
Let:
- \(B_H\) = Horizontal component of the Earth's magnetic field
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