Final answer:
To find the length of the slide, use the tangent function with the angle of depression and the known height of the slide. Rounded to the nearest whole number, the length of the slide is 16 ft.
Step-by-step explanation:
To find the length of the slide, we can use trigonometry. The angle of depression is the angle formed between the horizontal line and the line of sight when looking down from the top of the slide. In this case, the angle of depression is given as 53 degrees. To find the length of the slide, we can use the tangent function:
Tangent(angle of depression) = Opposite/Adjacent
Length of slide = Opposite = Adjacent * Tangent(angle of depression)
Length of slide = 12 ft * Tangent(53 degrees) = 12 ft * 1.327 = 15.924 ft
Rounding to the nearest whole number, the length of the slide is 16 ft.