Sure, let's go through this step-by-step.
1. Calculate the angle:
[tex]\[
90^\circ - 25^\circ = 65^\circ
\][/tex]
So, we need to find the sine of [tex]\(65^\circ\)[/tex].
2. Evaluate the sine of the angle:
[tex]\[
\sin(65^\circ) \approx 0.9063
\][/tex]
Therefore, [tex]\(\sin (90-25)^{\circ} = \sin(65^\circ) \approx 0.9063\)[/tex].