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? A. 10 feet B. 12 feet C. 15 feet D. 17 feet

Question

Zimmerman

Mathematics

2 May, 00:14

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? A. 10 feet B. 12 feet C. 15 feet D. 17 feet

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Answers (1)

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Kaya Shannon · Answer 1

Let the required length be x, then

x/25 = 6 / (6 + 9)

x/25 = 6/15

15x = 25 x 6

x = 150/15

x = 10

Therefore, the short brace should touch the brace at 10 feet.