A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.

What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?

A

134 feet


B

234 feet


C

514 feet


D

8 feet

Respuesta :

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is A [tex]1 \frac{3}{4} [/tex] feet.

As per the known fact, 1 foot = 12 inches. Now, the height of frame is = 2 feet.

Distance from wall to centre of mirror = 21/4 feet

Now, distance between centre and bottom of frame = 2/2

The distance between centre and bottom of frame = 1 feet

The distance of centre from floor is = 1 + 21/4

The distance of centre from floor is = 25/4 feet

The distance of centre from between top of frame and ceiling = 9 - 25/4 - 1

The distance of centre from between top of frame and ceiling = 7/4 feet or [tex]1 \frac{3}{4} [/tex] feet

Hence, the correct option is A [tex]1 \frac{3}{4} [/tex] feet.

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