### Home > A2C > Chapter 5 > Lesson 5.2.2 > Problem 5-86

5-86.

Samy 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. Homework Help ✎

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.