<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>
Answer:
Given : x/3-5=6
answer = 23
Step-by-step explanation:
x-5=6*3
x-5=18
x=18+5
x=23
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
<h3>Translation and transformation</h3>
Translation is the transformation technique of changing the position of an object on the xy-plane.
Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
Learn more on translation here: brainly.com/question/12861087
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