Exercises: Sine, Cosine and Tangent on a right triangle

This sketch, which is not to scale, shows a kite quadrilateral $ABCD$ with symmetry axis $AC$ and the sides: $\mathrm{a}=7\mathrm{cm}$, $\mathrm{c}=6\mathrm{cm}$, $\overline{\mathrm{DB}}=10\mathrm{cm}$

Compute the angles $\alpha ,\beta$ and $\gamma$.