Question

L

14. Ling wants to hang a chandelier from the ceiling of her dining room.
The height from the floor to ceiling is 12.5 feet. The height of her dining
room table is 2.5 feet. She wants the ratio of the chandelier's height to the
distance from the table to the bottom of the chandelier to be 1:4.
a)
Find the height between the table and the ceiling.

Answer 1

The height between the table and the ceiling is 8 feet.

Step-by-step explanation:

To find the height between the table and the ceiling, we can use the given ratio of 1:4 for the chandelier's height to the distance from the table to the bottom of the chandelier. Let's say the height of the chandelier is 'x', then the distance from the table to the bottom of the chandelier would be 4 times 'x'.

Given that the height of the dining room table is 2.5 feet, and the height from the floor to ceiling is 12.5 feet, we can set up the following equation:

2.5 + 4x + x = 12.5

Simplifying the equation, we get:

5x + 2.5 = 12.5

5x = 10

x = 2

Therefore, the height between the table and the ceiling is 4 times 'x', which is 8 feet.

Answer 2

the height between the table and the ceiling is 10 feet

Step-by-step explanation:

just subtract the 12.5 (height of the floor to ceiling) by 2.5 (height of the table)