A pencil ladder, represented in the diagram at left, is a compact ladder
that firefighters can use in tight spaces. To the nearest foot (ft), what is
the height h, in feet, for a pencil ladder that is 11 ft long when its base is
4.5 ft from the supporting wall?

Since I'm assuming you need to find the height of the supporting wall, I recommend drawing a diagram to help you better visualize what it would look like, like in the attached diagram. You'll see that it forms a triangle, with leg lengths 4.5 and x and a hypotenuse length 11. Use the Pythagorean Theorem to find the height of the supporting wall.

Hope this helps!

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A pencil ladder, represented in the diagram at left, is a compact ladder that firefighters can use in tight spaces. To the nearest foot (ft), what is the height h, in feet, for a pencil ladder that is 11 ft long when its base is 4.5 ft from the supporting wall?

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A pencil ladder, represented in the diagram at left, is a compact ladder
that firefighters can use in tight spaces. To the nearest foot (ft), what is
the height h, in feet, for a pencil ladder that is 11 ft long when its base is
4.5 ft from the supporting wall?