Segment length by using trigonometry: absolute value of trigonometric function?

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I'd like to compute the length $L$ in figure. Is it correct to do it in the following way ($H=0.247$)?

$$ L = H \, \mid \sin(\gamma) \mid = 9.4 \,\, 10^{−4} $$

where $\gamma = \pi - \theta_1 - \theta_2 = \pi - \frac{\pi}{4} - 2.36 $.

If I use:

$$ L = H \, \sin(\gamma) = −9.4 \,\, 10^{−4} $$

it is negative, thus it should be wrong.

enter image description here

Thank you very much.

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Yes, that is the correct approach.

If your answer is wrong, are you sure it isn't $2.36$ degrees, or perhaps was $2.36$ a result of rounding?

If you did, multiply degrees by $π/180$ to get the radian angle.

If your $\theta_i$ are correct, your answer is too.