For #1 the answers are
69 degrees
155 degrees
86 degrees
335 degrees
249 degrees
Infinitely many, because if you simplified the right side, it would equal the left side.
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.
You can seperate the prisms then use the formula l*w*h which for the one on top u get V=20 and for the other one is 48 so 20+48= 68 so the volume of the prism is
(☞゚ヮ゚)☞ 68 ☜(゚ヮ゚☜)