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2010 AMC 8 Question 5

AMC8 · 2010 AMC 8

Question 5

Alice needs to replace a light bulb located $10$ centimeters below the ceiling in her kitchen. The ceiling is $2.4$ meters above the floor. Alice is $1.5$ meters tall and can reach $46$ centimeters above the top of her head. Standing on a stool, she can just reach the light bulb. What is the height of the stool, in centimeters?
  1. $ \ 32 $
  2. $ \ 34 $
  3. $ \ 36 $
  4. $ \ 38 $
  5. $ \ 40 $