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Rosie is building a wheelchair ramp that is 30 feet long and 2.5 feet high. She needs to install a vertical support piece 20 feet from the end of the ramp. What is the length of the support piece in inches?

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Answer:

The length of the support piece is 25 inches

Step-by-step explanation:

[tex] \frac{30}{20} = \frac{2.5}{h} [/tex]

First, set up the proportion for similar triangles:

30*h=(2.5)*(20)

30h=50

Step 2: Divide both sides by 30.

30h/30=50/30

h=5/3

5/3ft * 15 inches = 25 inches

Turn feet into inches that is: Length of the support piece is 25 inches

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