### Home > CCA2 > Chapter 4 > Lesson 4.2.2 > Problem4-89

4-89.

Sammy has a $10$-foot wooden ladder, which he needs to climb to reach the roof of his house. The roof is $12$ feet above the ground. The base of the ladder must be at least $1.5$ 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 $x =$ the distance from the top of the ladder to the roof.

Find the unknown leg of the triangle.

Approximately $2.11$ feet.