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Home > CCG > Chapter 5 > Lesson 5.1.2 > Problem 5-18


While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a  angle with the ground.” He wants to buy a ladder to paint a two-story house that is feet high. How long does his ladder need to be? Draw a diagram and set up an equation for this situation. Show all work.  

Draw a diagram comparable to the one to the right.

Refer to the Math Notes box in Lesson 5.1.2 if you need help deciding which trigonometric ratio to use when solving for .

The diagram is a ladder propped up against a house. The ladder is x feet. The distance from the ground to the top of the house is 26 feet. The slope angle the ladder creates against the house is 75 degrees.