Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it u

Question

2 years ago

15

p The shelf hits the ceiling. Why does it hit the ceiling

1 answer:

Ivenika [448] · Answer 1 · 2023-03-15T08:31:32+03:00

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

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