Parts A and B are a part of the same question 2. (MG 19 S11 Purple 2) You really miss going to the movies and would like to create your own makeshift theater.You go online and find a cheap projector and a screen that is 6 feet tall. Once you have everything set up, youwant to figure out where to sit and get the best view. Naturally, you pull out a pen and pencil and think abouttrigonometry! First you observe that from any seat, your eye level is 3 feet from the bottom of the screen. Youalso notice that in order to get the best view, you want the angle formed by your line of sight between the top andbottom of the screen to be as large as possible.6 ftscreen3 ftx ftfrom the screen(a) Let x represent the number of feet from the screen to a seat. Using trigonometry, explain why 0 is given by(?)(2)0 = arctan- arctan(b) Notice that if we change x, then the angle 0 will also change. This means0 (x)(2)= arctan- arctanis a function with input x and output 0. Use DESMOS to graph 0(x) and find which x will give you thelargest value of 0. This is then how far from the screen you have to sit to get the best view!

Name: Parts A and B are a part of the same question 2. (MG 19 S11 Purple 2)
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Description: Parts A and B are a part of the same question 2. (MG 19 S11 Purple 2) You really miss going to the movies and would like to create your own makeshift theater.You go online and find a cheap projector and a screen that is 6 feet tall. Once you have eve

Consider the given figure, In the above figure, θ1+θ=θ2θ=θ2-θ1 Consider the triangle OAD, tanθ1=3xθ1=tan-13x Consider the triangle OAC, tanθ2=3+6xθ2=tan-19x Therefore, θ=θ2-θ1θ=tan-1(9x)-tan-1(3x)The graph of the function is shown below. For largest value of θ, dθdx=0ddxtan-19x-tan-13x=011+9x2-9x2-11+3x2-3x2=0-9x2+81+3x2+9=03x2+9=9x2+81x2+81=3x2+9-2x2=-54x2=27x=5.196 .......consider only positive value Hence, you have to sit 5.196 feet far from the screen to best view.

Math

Calculus

(a) Let x represent the number of feet from the screen to a seat. Using trigonometry, explain why 0 is given by (2). 0 = arctan - arctan (b) Notice that if we change x, then the angle 0 will also change. This means 0 (x) = arctan - arctan

(a) Let x represent the number of feet from the screen to a seat. Using trigonometry, explain why 0 is given by (2). 0 = arctan - arctan (b) Notice that if we change x, then the angle 0 will also change. This means 0 (x) = arctan - arctan

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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