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Your ceiling is 210 centimetres high, You want the tree to have 30 centimetres of space with the ceiling. How tall must the tree be? (in centimetres)

Your ceiling is 210 \mathbf{2 1 0} centimetres high, You want the tree to have 30 \mathbf{3 0} centimetres of space with the ceiling. How tall must the tree be? (in centimetres)

Full solution

Q. Your ceiling is 210 \mathbf{2 1 0} centimetres high, You want the tree to have 30 \mathbf{3 0} centimetres of space with the ceiling. How tall must the tree be? (in centimetres)
  1. Understand the problem: Understand the problem.\newlineWe need to find the maximum height of a tree that can fit under a 210210-centimetre high ceiling while maintaining a 3030-centimetre gap between the top of the tree and the ceiling.
  2. Subtract required space: Subtract the required space from the ceiling height to find the maximum height of the tree.210210 centimetres (ceiling height) 30- 30 centimetres (required space) =180= 180 centimetres (maximum tree height).

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