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.

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)

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm