A football is kicked at an angle of `30^(@)` with the vertical, so if the horizontal component of its velocity is `20 ms^(-1)`, determine its maximum height.

Explanation

To solve the problem of determining the maximum height attained by a football kicked at an angle of \(30^\circ\) with the vertical and with a horizontal component of velocity of \(20 \, \text{ms}^{-1}\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the angle with respect to the horizontal**:
Since the football is kicked at an angle of \(30^\circ\) with the vertical, the angle with respect to the horizontal is:
\[
\theta = 90^\circ - 30^\circ = 60^\circ
...