Describe θ in terms of these variables.

[Anthobet]

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Here are my steps to solving this problem (also in the picture below):

1) Evaluate the cross-sectional length
2) Evaluate the vertical length of the triangle
3) Evaluate the hypotenuse of θ
4) Evaluate cosθ in order to obtain cos^-1θ

My work seems logical so I think the issue is arithmetic. First thing I notice is that my numerator matches all the answers, however, my denominator has a 1/4 so I'm having trouble taking it out of the radicand. I know (h-k)² should remain because none of the choices have an hk variable, which would result in distributing. Thank you for taking the time to read this.

Side note: I think that it would've been easier to solve using tan^-1 but all the answers show cos^-1

 

[Anthobet]

Sorry, but how do I delete this thread? I just solved this by multiplying the top and bottom of the radicand by 4. Simple correction

 

[MarkFL]

No need to delete it...someone might find this thread useful in the future.