1.78: Trigonometric equations and geometry

Figure 2 shows a solid cuboid with cm and cm.
The angle between the diagonal of the cuboid and the plane is .
The midpoint of is .
Find, in cm to 3 significant figures,
(a) the length of , (4)
(b) the length of , (3)
(c) the length of . (3)
Find, in degrees to 1 decimal place, the size of
(d) the angle between the plane and the plane , (3)
(e) angle . (3)
