#### 0.75
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- Use the formula for the sum of an infinite series: \(S = \frac{a}{1 - r}\).
- Substitute: \(20 = \frac{5}{1 - r}\).
- Solve for \(r\): \(20(1 - r) = 5\), \(20 - 20r = 5\), \(20r = 15\), \(r = 0.75\).
- A projectile is launched with an initial velocity of 50 m/s at an angle of 30°. Find the maximum height reached.
- Use the formula: \(h = \frac{(v^2 \sin^2 \theta)}{2g}\).
- Here, \(v = 50\), \(\theta = 30^\circ\), \(g = 9.8\).
