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.

Question

anonymous · Answer

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jim_thompson5910 · Answer

(smaller side)/(longer side) = ratio as a fraction

4.5/x = 2/3

4.5*3 = x*2

13.5 = 2x

2x = 13.5

x = 13.5/2

x = 6.75

So the longer altitude is 6.75 ft