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Math Analysis HL Paper 2 (May 2025, TZ2)

2. [Maximum mark: 6]

The following diagram shows a square-based right-pyramid with vertex V(1, 7, 0). Point X(-3, 4, 2) is the centre of the base ABCD. (Diagram not to scale, showing a pyramid with apex V and base ABCD centered at X).

Figure region page 4
Figure region from page 4

(a) Find VX. [2]

The square base has side length 5 cm.

(b) Find AC. [2]

(c) Find the size of the angle between the edge [VC] and the base of the pyramid. [2]