2026 SPS P1 Q21

A sculpture of height 5.3 m stands at point A in a park. A flower garden, F, is 12.8 m from A on a bearing of 062°.

The scale drawing below shows the position of A and the direction of North. Scale: 1 cm represents 2 m.

1. By construction, locate and mark the position of F.[1]
2. A playground, P, is due south of F and 16 m from A.
   By construction, locate and mark the position of P. Draw the paths PA and PF.[1]
3. Calculate the greatest angle of elevation of the top of the sculpture from the path PF.[2]