For each of the following, find an angle $\theta$ satisfying the given equation. (Round your answers to the nearest $0.001^{\circ}$.)

(a) If $0^{\circ} \leq \theta \leq 90^{\circ}$ and $\displaystyle \sin(\theta)=0.561$, then $\theta =$ degrees.

(b) If $0^{\circ} \leq \theta \leq 90^{\circ}$ and $\displaystyle \cos(\theta)=0.262$, then $\theta =$ degrees.

(c) If $0^{\circ} \leq \theta \leq 90^{\circ}$ and $\displaystyle \tan(\theta)=786.263$, then $\theta =$ degrees.