1.23: Figure 4 shows a right pyramid with vertex and base which is a regular pentagon.

4PM1/2/June/2023 — Question 9 · 6 marks

1.23 diagram 1
Figure 4 shows a right pyramid with vertex V\displaystyle V and base ABCDE\displaystyle ABCDE which is a regular pentagon.
AB=BC=CD=DE=EA=2xcmAB = BC = CD = DE = EA = 2x \mathrm{cm}
VA=VB=VC=VD=VE=3xcmVA = VB = VC = VD = VE = 3x \mathrm{cm}
Find, in degrees to one decimal place, the size of the angle between the plane VBC\displaystyle VBC and the base ABCDE\displaystyle ABCDE
(6)