A weird trig equation
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By equating two expressions for b from the diagram I arrived at the equation
Then by substituting using you can arrive at a quartic equation in t...it's fairly ugly but like all the other equations, Wolframalpha can solve it and gives leading to .
In case any one is interested..
Of course, knowing the answer, we could factorise the quartic to arrive at our solution but that's not very satisfying.
I did it with vectors. It was probably even more longwinded than BabyMaths effort so I'm not going to bother to post any working.
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