Two triangular roofs are similar. the corresponding sides of these roofs are 16 feet and 24 feet. if the altitude of the smaller roof is 6 feet, find the corresponding altitude of the larger roo

Question

Mathematics

Shayna Brock

25 March, 19:55

Two triangular roofs are similar. the corresponding sides of these roofs are 16 feet and 24 feet. if the altitude of the smaller roof is 6 feet, find the corresponding altitude of the larger roo

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Michael Chambers · Answer 1

Using the concept of proportionality we shall solve for the unknown altitude as follows:

let the measure of the altitude be x:

24/16=x/6

solving for x we get:

x=24/16*6

x=9 feet

Answer: 9 feet