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) 

RELATED QUESTIONS

A bookcase fits diagonally into the corner of the room. The front of the bookcase is 54... (answered by macston)

 The cost of a bookcase was $70.00. Overhead associated with the bookcase was $10.00.... (answered by rcmcc)

candace is building a bookcase with shelves that are right triangle. What is the measure... (answered by fractalier)

.the area of a square bookcase is 21 more than the perimeter. find the length of a... (answered by joyofmath)

Abrianna built a bookcase that is 8 feet tall and 6 feet wide. She put a diagonal brace... (answered by rfer)

Abrianna built a bookcase that is 8 feet tall and 6 feet wide. She put a diagonal brace... (answered by derangoj)

is the height of a bookcase greater than less than or equal to a yard
 (answered by Alan3354)

A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a... (answered by ankor@dixie-net.com)

A bookcase is to be constructed as shown in the figure. The length is to be 
22times the  (answered by Fombitz)