Triangle relationship

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There are two right triangles, the first one with the base a and the height h. The second has the base a and 2h. The question is to prove the relationship between the theta 1 and theta 2 angles in the triangles (see attachment). I have been able to prove it with circle theorems but not with algebra, so i would appreciate if someone could deliver a algebraic proof, thank you.

[arildno]

Well, you should have:
tan(\theta_{1})=\frac{a}{h}=2\frac{a}{2h}=2tan(\th eta_{2})

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Does this mean theta 1 is twice as big as theta 2?

[Integral]

Does this mean theta 1 is twice as big as theta 2?
In general, No. However, it is approximatly true when h>> a.