To find the height, distance, and time of a toy rocket launched at a velocity of 30 m/s at a 50-degree angle, the formulas for horizontal distance and height are used. The horizontal distance traveled is calculated as 30 * cos(50°) * t, while the height is given by 30 * sin(50°) * t - (g/2) * t^2, where g is the acceleration due to gravity. It's important to convert the launch angle from degrees to radians for accurate calculations. Ensure that all quantities are expressed in proper units. Understanding these principles can be found in high school mechanics textbooks.