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During renovation, a pillar is supported by two braces as shown in the diagram. Based on the diagram, at what height should the short brace touch the pillar to ensure that the short brace is parallel to the long brace?
 
10 feet


12 feet


15 feet


17 feet

During renovation, a pillar is supported by two braces as shown in the diagram. Based on the diagram, at what height should the short brace touch the pillar to class=

Verified Answer :

MissPhiladelphia

For the given diagram above, we have similar two triangles in it. Triangle 1 having x and 6 feet while triangle 2 having 25 feet and 15 feet(6+9) measurements, respectively.

So the proportion goes as:

 x         6
----   = ---- 
 25       15

15x = 150

x = 10

The answer is A. 10 feet, on Plato.


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