Two bodies are thrown with the same initial speed at angles `alpha and (90^(@) -alpha)` with the horizontal. What will be the ratio of (a) maximum heights attained by them and (b) horizontal ranges ?

Explanation

To solve the problem of finding the ratio of maximum heights and horizontal ranges of two bodies thrown with the same initial speed at angles \( \alpha \) and \( 90^\circ - \alpha \), we can follow these steps:

### Step 1: Maximum Height Calculation

1. **Formula for Maximum Height**: The maximum height \( H \) attained by a projectile is given by the formula:
\[ H = \frac{u^2 \sin^2 \theta}{2g} \]
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