Final answer:
To find the length of the slide, you can use trigonometry and the angle of depression. The length can be found using the tangent function, and rounding to the nearest whole number gives an answer of approximately 9 feet.
Step-by-step explanation:
To find the length of the slide, we can use trigonometry and the angle of depression. We can use the tangent function, which is opposite over adjacent, to find the length of the slide. In this case, the opposite side is the height of the slide (12 feet) and the adjacent side is the length of the slide. So we have:
tan(53 degrees) = opposite/adjacent
tan(53 degrees) = 12/adjacent
To solve for the length of the slide, we can rearrange the equation:
adjacent = 12/tan(53 degrees)
Using a calculator, we can find that the length of the slide is approximately 9 feet when rounded to the nearest whole number.