Final answer:
To find the actual length of the court in feet, we use the proportion from the scale factor, calculate the length in inches, and convert to feet, obtaining a result of 3.52 feet rounded to two decimal places.
Step-by-step explanation:
The question is asking how to find the actual length of a court in feet when given a scaled drawing dimension and a scale factor between the drawing and the actual size. The scale factor is 8 to 60, and one of the sides of the scaled drawing is 4.5 inches. To solve this problem, we first need to set up a proportion using the scale factor. We know that 8 units in the drawing correspond to 60 units in real life. We write this as 8/60. The 4.5-inch side in the drawing then corresponds to an unknown length (which we can call x) in real life.
So, the proportion is 8/60 = 4.5/x. To solve for x, we cross-multiply and divide: x = (60 * 4.5) / 8. After performing the calculation, we'll get x in inches. Since the question asks for the answer in feet, we'll then convert inches to feet by dividing by 12 (since there are 12 inches in a foot).
Let's do the math: x = (60 * 4.5) / 8 = 337.5 / 8 = 42.1875 inches. Converting to feet, we have 42.1875 / 12, which equals 3.515625 feet. Therefore, the actual length of the court is 3.52 feet when rounded to two decimal places.