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The town park does an outdoor movie night every Saturday during the summer on a large screen. Kate is sitting 36 feet from the base of the screen, watching a movie with her family. If the angle of elevation from Kate to the top of the screen is 24°, how tall is the movie screen?

The town park does an outdoor movie night every Saturday during the summer on a large screen Kate is sitting 36 feet from the base of the screen watching a movi class=

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Answer:

Step-by-step explanation: Its opposite over adjacent which is tangent. So tan(24 degrees)=height of the screen/36 ft away.

get the screen height by itself by multiplying both sides by 36 ft.

screen height=tan(24 degrees)36 ft

use a calculator to get approx. 15.43 ft tall

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