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Mathematics, 08.07.2021 03:10 s103394

Joe is anxious for the big game. He couldn't get tickets for the game, but he heard it's being broadcast on a large screen at a local megaplex. Since Joe doesn't want to miss a minute of this game, he decides to check out the megaplex the day before the game. The megaplex was empty, so Joe was able to take some measurements. He found that the 9 foot high screen is placed on a wall with its base 7 feet above his eye level. Now he just needs to figure out how far away from the wall he needs to stand to get the best view. He'll do this by maximizing angle θ. Joe is so excited he can complete this calculation, he decides to do the same calculations for his TV at home. Joe’s TV measures 2.5 feet tall. Based on the location of the cable outlets, the bottom of the TV will have to be 2 feet above his sightline when he sits on the couch. How far away should Joe be from the TV to maximize his viewing angle? Part A Use the properties of a right triangle to identify the trig function that can be used to solve this problem. How far from the wall should Joe stand at the megaplex in order to maximize his viewing angle, θ?

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