A cyclist riding at a speed, of `24.25 ms^(-1)` takes a round a circular road of radius 34.64 m. What is his inclination to the vertical ?

Explanation

To find the inclination of the cyclist to the vertical while riding around a circular road, we can use the relationship between the speed of the cyclist, the radius of the circular path, and the acceleration due to gravity. Here’s a step-by-step solution:

### Step 1: Identify the given values
- Speed of the cyclist, \( v = 24.25 \, \text{m/s} \)
- Radius of the circular road, \( r = 34.64 \, \text{m} \)
- Acceleration due to gravity, \( g = 9.8 \, \text{m/s}^2 \)

### Step 2: Use the formula for the tangent of the angle of inclination
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