The needle of a dip circle shows an apparent dip of `45^@` in a particular position and `53^@` when the circle is rotated through `90^@`. Find the true dip.

Explanation

To solve the problem of finding the true dip given two apparent dips, we will use the relationship between true dip and apparent dip. Here’s a step-by-step solution:

### Step 1: Understand the Given Information
We have two apparent dips:
- First apparent dip, \( \lambda_1 = 45^\circ \)
- Second apparent dip, \( \lambda_2 = 53^\circ \)

### Step 2: Use the Formula for True Dip
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