A ladder rests against a frictionless vertical wall, with its upper end `6 m` above the ground and the lower end `4 m` away from the wall. The weight of the ladder is `500 N` and its `CG` at `1//3^(rd)` distance from the lower end. Wall's reaction will be (in newton)

Options

A. `111`
B. `333`
C. `222`
D. `129`

Explanation

To solve the problem, we need to analyze the forces acting on the ladder and apply the principles of equilibrium. Here’s a step-by-step solution:

### Step 1: Identify the Geometry of the Ladder
The ladder forms a right triangle with the wall and the ground. The height of the ladder against the wall is 6 m, and the distance from the wall to the base of the ladder is 4 m.

### Step 2: Calculate the Length of the Ladder
Using the Pythagorean theorem:
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