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Camilla is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp starts 4444 inches from the cinder block and the piece of wood is 5555 inches long, how tall is the cinder block? \newline____\_\_\_\_ inches

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Full solution

Q. Camilla is building a skateboarding ramp by propping the end of a piece of wood on a cinder block. If the ramp starts 4444 inches from the cinder block and the piece of wood is 5555 inches long, how tall is the cinder block? \newline____\_\_\_\_ inches
  1. Identify Triangle: Identify the right triangle formed by the ramp, ground, and height of the cinder block.
  2. Use Pythagorean Theorem: Use the Pythagorean Theorem: a2+b2=c2a^2 + b^2 = c^2, where aa is the height of the cinder block, bb is the distance from the ramp to the cinder block, and cc is the length of the piece of wood.
  3. Plug in Values: Plug in the known values: a2+442=552a^2 + 44^2 = 55^2.
  4. Calculate Squares: Calculate the squares: a2+1936=3025a^2 + 1936 = 3025.
  5. Subtract Values: Subtract 19361936 from both sides: a2=3025−1936a^2 = 3025 - 1936.
  6. Calculate Difference: Calculate the difference: a2=1089a^2 = 1089.
  7. Take Square Root: Take the square root of both sides: a=1089a = \sqrt{1089}.
  8. Calculate Result: Calculate the square root: a=33a = \sqrt{33}.

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