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Sammy has a -foot wooden ladder, which he needs to climb to reach the roof of his house. The roof is feet above the ground. The base of the ladder must be at least feet from the base of the house. How far is it from the top step of the ladder to the edge of the roof? Draw a sketch.

Draw and label a diagram. Let the distance from the top of the ladder to the roof.

Diagram, with ladder leaning against a building, ladder, labeled, 10 feet, is hypotenuse of right triangle, with horizontal leg, labeled, 1.5 feet, height of building labeled, 12 feet. Double sided arrow, labeled, x, from roof to top of ladder.

Find the unknown leg of the triangle.

Approximately feet.