Final answer:
The maximum height the potato reached is approximately 1.47 meters.
Step-by-step explanation:
In order to find the maximum height the potato reached, we can use the formula for the vertical component of projectile motion.
The formula is:
maximum height = (initial velocity squared * sin^2(angle)) / (2 * acceleration due to gravity)
Plugging in the values, we have:
maximum height = (12^2 * sin^2(30)) / (2 * 9.8) ≈ 1.47 meters