Can I use proportion to my advantage?

Geometry Level 2

sin2θ5=cos2θ6 \large \frac { \sin ^{ 2 }{ \theta } }{ 5 } =\frac { \cos ^{ 2 }{ \theta } }{ 6 }

If θ\theta is a positive acute angle that satisfies the equation above, find sinθ\sin { \theta }.

Note: Give your answer to 3 decimal places.

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