SOLUTION: A bookcase fits diagonally into a 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. a. What angles ar

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Question 876610: A bookcase fits diagonally into a 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.
a. What angles are formed where the front of the bookcase touches the walls?
b. Calculate how much wall space each side of the bookcase uses.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

A bookcase fits diagonally into a 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. 

a. What angles are formed where the front of the bookcase touches the walls? 45°

b, sin 45 = opp/hyp = opp/27in, opp the Altitude

     27sin (45) = 19in(nearest whole), the Altitude

Applying the Pythagorean Theorem

 19^2 + 27^2 = (Each side)^2 = 33in (nearest whole number)