Answer:
Explanation:
To solve the problem, we can use trigonometry and set up a right triangle with the ladder being the hypotenuse, the height being the opposite side, and the slide being the adjacent side. Then, we can use the tangent ratio to find the height of the ladder.
First, we need to convert the length of the slide from feet and inches to just feet. There are 12 inches in a foot, so 8 feet 3 inches can be written as:
8 + 3/12 feet = 8.25 feet
Next, we can use the tangent ratio:
tan(34°) = opposite/adjacent
where the opposite side is the height of the ladder, and the adjacent side is the length of the slide.
Plugging in the values we get:
tan(34°) = height/8.25
Solving for height, we get:
height = 8.25 x tan(34°)
Using a calculator, we can find that:
height ≈ 5.21 feet
Therefore, the height of the ladder leading to the top of the slide is approximately 5.21 feet.