A particle is projected from the bottom of an inclined plane of inclination `30^@`. At what angle `alpha ` (from the horizontal) should the particle be projected to get the maximum range on the inclined plane.

Explanation

To solve the problem of determining the angle \( \alpha \) at which a particle should be projected from the bottom of an inclined plane (with an inclination of \( 30^\circ \)) to achieve maximum range, we can follow these steps:

### Step 1: Understand the Problem
The inclined plane makes an angle \( \beta = 30^\circ \) with the horizontal. We need to find the angle \( \alpha \) (the angle of projection from the horizontal) that maximizes the range of the projectile on this inclined plane.

### Step 2: Set Up the Coordinate System
We will set up a coordinate system where:
- The x-axis is parallel to the inclined plane.
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