Find x, when:

I have come this far, but here it stops:

Firstly, is this correct?

Secondly, what should I do with ?

In advance: Thank you for your assistance. :]

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- Jul 13th 2008, 08:34 PMMatteNoobTrigonometry problem.
Find x, when:

I have come this far, but here it stops:

Firstly, is this correct?

Secondly, what should I do with ?

In advance: Thank you for your assistance. :] - Jul 13th 2008, 08:56 PMJhevon
Looking good!

now, let (so what you are looking for is and -- since )

thus we can draw a right-triangle, with an acute angle , where the opposite side is of length 1 and the adjacent side is of length 3, since this is how we define the tangent ratio. By Pythagoras' theorem, the hypotenuse is

Now, recall that and

i leave it to you to finish up - Jul 13th 2008, 08:59 PMMathstud28
- Jul 13th 2008, 09:14 PMMatteNoob
To Jhevon and Mathstud28:

Thank you very much for the good and enlightening explanations you both gave me. I really appreciate it. Glad I found this forum which has latex support and everything. You can count on seeing me post again :) - Jul 13th 2008, 09:17 PMMathstud28