We can solve this problem using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the diving board acts as one side of the right triangle, the ladder acts as the hypotenuse, and the distance between the base of the diving board and the ladder acts as the other side of the right triangle.
Let's call the height of the ladder h. The distance between the base of the diving board and the ladder is given as 5 feet.
Using the Pythagorean theorem, we have:
h^2 = 10^2 + 5^2
h^2 = 100 + 25
h^2 = 125
Taking the square root of both sides, we find:
h ≈ √125
h ≈ 11.18
So, approximately, the ladder is 11 feet tall.
Consider a diving board that is 10
feet above a pool.
Image_9274
If the ladder is 5
feet away from the base of the diving board, approximately how tall is the ladder?
Responses
9
feet
9 feet
11
feet
11 feet
15
feet
15 feet
17
feet
1 answer
1 answer