Two triangular roofs are similar. the ratio of the corresponding sides of these roofs is 2: 3. if the altitude of the smaller roof is 4.5 feet, find the corresponding altitude of the larger roof. round to the nearest hundredth.

The answer is:  "6.75 ft."  .

Explanation:

 2 / 3 = (4.5) / x ;  Solve for "x" ;

     2x = (3)(4.5) ;

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;

    2x / 2 = [3*(4.5)] / 2 ; 

    to get:  x  = (13.5)/2 = 6.75 ft.  This is already rounded to the
                                                       nearest hundredth.

In this problem it decreased 20%

The first one is 2/3the second is 1/160the third is 4/125