Final answer:
The calculated trajectory with an intended radius of 28 yards is approximately 34.5 ft. (option b)
Step-by-step explanation:
To determine the trajectory, we use the formula for the circumference of a circle (C = 2πr), where "r" is the radius.
In this case, the circumference is the intended trajectory.
By substituting the given radius of 28 yards into the formula, we find the trajectory length to be approximately 176 feet. However, since the question specifies an intended trajectory of 18.5 feet, we need to find the corresponding fraction of the total circumference.
By setting up a proportion, we find that the intended trajectory is about 34.5 feet.
Circumference = 2π × 28 yards ≈ 176 feet.
Proportion: 18.5 ft / x = 176 ft / 2π × 28 yards.
Solving for x, we find the intended trajectory to be approximately 34.5 feet, making the final answer (b) 34.5 ft.