Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the a

Question

2 years ago

8

pproximate dimensions of the screen to the nearest foot?

1 answer:

mars1129 [50] · Answer 1 · 2022-10-10T15:04:20+03:00

Answer:

height = 23 ft , Width=43ft

Step-by-step explanation:

Step one:

Given data

Diagonal = 66ft

Aspect ratio= 19:10

From the formulas below, we can find the dimensions of the theater screen

height = diagonal / √ (AR²+1)

where AR is the aspect ratio

Step two:

height = 66 / √ ((19/10)² + 1) =

height = 66 / 2.9

height = 23 ft

Step three:

Also,

width = AR * height

width = (19/10) * 22.75

width =1.9* 22.75

Width=43ft