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joess
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[SOLVED] problem involving trig functions
Your room has a window whose height is 1.5 meters. The bottom edge of the window is 10 cm above your eye level. (See figure) How far away from the window should you stand to get the best view? (“Best view” means the largest visual angle, i.e. angle between the lines of sight to the bottom and to the top of the window.)
So the question's basically saying that I should maximize theta right? What I have so far is just
tan(O+a) = 1.6/x
and
a = arctan(0.1/x)
[by the way, O=theta, i couldn't figure out how to insert the proper symbol]
But even if I substitute a into the first equation, I still have 2 variables, and I can't figure out how to get only theta in an equation. Am I even on the right track?
Homework Statement
Your room has a window whose height is 1.5 meters. The bottom edge of the window is 10 cm above your eye level. (See figure) How far away from the window should you stand to get the best view? (“Best view” means the largest visual angle, i.e. angle between the lines of sight to the bottom and to the top of the window.)
Homework Equations
The Attempt at a Solution
So the question's basically saying that I should maximize theta right? What I have so far is just
tan(O+a) = 1.6/x
and
a = arctan(0.1/x)
[by the way, O=theta, i couldn't figure out how to insert the proper symbol]
But even if I substitute a into the first equation, I still have 2 variables, and I can't figure out how to get only theta in an equation. Am I even on the right track?