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. Help explain step by step?

Question

directrix · Answer

The scale factor of two similar polygons is the same value as the ratio of any pair of corresponding linear parts of the the two polygons.

By linear part, I mean a segment that can be measured with a ruler in linear units such as feet or meters.

directrix · Answer

In this problem, the proportion is the following:

2/3 = 4.5/x where x is the length of the altitude of the larger roof.

Cross multiplying,

2x = 3 * 4.5

Solve for x and post your answer. Someone will be by to check. Okay? @Foreverisabell

anonymous · Answer

Thank you @Directrix so x = 6.75? @Directrix

directrix · Answer

Let me check.

directrix · Answer

6.75 is what I got.