Trigonometry word problem

Question

1. A bookcase fits diagonally into the corner of a room. The front of the bookcase is 54 inches wide. Each side of the bookcase uses the same amount of wall space. 
2. What angles are formed where the front of the bookcase touches the walls?
3. Calculate how much wall space each side of the bookcase uses.
4. Draw a picture

Answer 1

The problem describes an isosceles right triangle with an hypotenuse of 54".

With that information you should be able to answer the questions.