To find the total length of the slide, we can use trigonometry. By using the angle and the height of the slide, we can use the sine function to find the length of the slide. The total length of the slide is approximately 26.85 ft.
To find the total length of the slide, we can use trigonometry. Since we are given the angle and the height of the slide, we can use the sine function to find the length of the slide.
The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse. In this case, the height of the slide is the opposite side and the total length of the slide is the hypotenuse.
Using the given information, we have:
sine(35°) = height/length
Substituting in the values, we get:
sine(35°) = 15/length
Now, rearranging the equation to solve for length:
length = 15/sine(35°)
Calculating the value of sine(35°) using a calculator, we find:
length ≈ 26.85 ft
Therefore, the total length of the slide, to the nearest feet, is approximately 26.85 ft.