Final answer:
To determine the maximum height a marble reaches when launched at an angle, the formula h = (v² sin²(θ))/(2g) is used, where v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity. Without the initial speed or specific setting details, the maximum height cannot be calculated.
Step-by-step explanation:
The question regarding the height a marble reaches when launched at an angle with a specific setting involves the principles of projectile motion in physics. Although the student's question doesn't provide all necessary details such as the initial speed or the setting referred to (as there seems to be no 'third setting' indicated in the reference material), generally the maximum height a projectile reaches can be calculated using the initial velocity, launch angle, and the acceleration due to gravity.
Typically, to calculate the height, you can use the following equation derived from the kinematic equations for projectile motion: h = (v² sin²(θ))/(2g), where h is the maximum height, v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity (approximately 9.81 m/s² on Earth).
For a marble launched at an angle of 50° from the ground, if we knew the initial speed, we could use the above formula to find the maximum height. Since the required information is missing, you may need to provide the initial speed or refer to the settings mentioned in your materials to accurately determine the maximum height.