Big problem with my IB Math SL IA.. :( Watch

HazimQ
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Hey guys,

I'm doing my Math IA about finding the maximum angle possible between a person's ears and the speakers in a movie theatre..

So, obviously, I'd have to find a function for the angle theta, and then find the maximum of the function. I did it wrong, and I reached a point where instead of finding a function for theta, I ended up finding a constant (I think I had too many defined numbers)... How do I make it so I find it in terms of a function?

Here's my diagram:




I'm trying to find a function for theta (1 or 2, doesn't matter, both sides are equal anyways) where measurements for A, B, S, F, and C are available. What I did was used Pythagora's to find D and E, and cosine rule to find theta, but I think I need to find D and E in terms of variables... How do I do this?

Thanks.
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brianeverit
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(Original post by HazimQ)
Hey guys,

I'm doing my Math IA about finding the maximum angle possible between a person's ears and the speakers in a movie theatre..

So, obviously, I'd have to find a function for the angle theta, and then find the maximum of the function. I did it wrong, and I reached a point where instead of finding a function for theta, I ended up finding a constant (I think I had too many defined numbers)... How do I make it so I find it in terms of a function?

Here's my diagram:




I'm trying to find a function for theta (1 or 2, doesn't matter, both sides are equal anyways) where measurements for A, B, S, F, and C are available. What I did was used Pythagora's to find D and E, and cosine rule to find theta, but I think I need to find D and E in terms of variables... How do I do this?

Thanks.
I make it D=\frac{80-70\cos\theta}{B\sin\theta}

Does that make any sense?
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