A man observes that when he moves up a distance `c` metres on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is `30^0,` and when he moves up further a distance `c` metres, the angle of depression of that point is `45^0dot` The angle of inclination of the slope with the horizontal is.

Explanation

To solve the problem step by step, we will analyze the situation described and use trigonometric relationships to find the angle of inclination of the slope.

### Step 1: Understand the scenario
The man moves up a slope and observes two angles of depression to a point on the horizontal plane. The first angle of depression is \(30^\circ\) when he is at point \(Q\) after moving \(c\) meters up the slope, and the second angle of depression is \(45^\circ\) when he moves up another \(c\) meters to point \(R\).

### Step 2: Set up the triangle
Let:
- \(P\) be the base of the slope,
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