You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.7 feet and the horizontal distance from you to the screen is 11 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.

Question

Mathematics

Rose Schwartz

19 March, 15:35

You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.7 feet and the horizontal distance from you to the screen is 11 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.

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Answers (1)

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Bianca Benton · Answer 1

Step-by-step explanation:

The height of the screen is 1/2 tan^ (theta) (1 + 22cot theta) ft, cot (theta) >1/22.

Let x = the height of the screen

Delta ABC sine rule

x/sin (theta) = C/sinC