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While shopping at his local home improvement store, Chen notices 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 that will reach a height of feet to paint a two-story house. How long does his ladder need to be? Draw a diagram and set up an equation for this situation. Show all work. 

Right triangle labeled as follows: vertical leg, 26 feet, hypotenuse, labeled, x, angle opposite vertical leg, 75 degrees.