Can I use proportion to my advantage?

Geometry Level 2

\[ \large \frac { \sin ^{ 2 }{ \theta } }{ 5 } =\frac { \cos ^{ 2 }{ \theta } }{ 6 }\]

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

Note: Give your answer to 3 decimal places.

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