2026 EVG P2 Q6

The diagram shows a building in the form of a trapezoidal prism. The base ABCD is on flat ground. ABGH, BCFG, ADEH and DCFE are vertical rectangular planes.

\(AB=42\text{ m},BC=25\text{ m},CD=20\text{ m},AH=10\text{ m}\) and \(\angle DCB=130^\circ\). AB is parallel to DC.

1. Calculate the length AC.[2]
2. Given that C is due north of A, find the bearing of B from A.[3]
3. Calculate the volume of the prism.[3]
4. An object moves along AB. Calculate the angle of depression of the object from E.[3]