Foundation June 2022 Paper 2 Q16

OCRFoundationCurrent spec5 marksForming Equations

16 A town square has a fountain (F) at the centre.
There is also a bell tower (B) and a statue (S).

The bearing of the statue from the fountain is \(x^\circ\).

Square with point F at the centre, a North arrow at F, point S up and to the right of F with angle x° between North and FS, and point B below and to the left of F

Not to scale

(a) The bearing of the bell tower from the fountain is \(140^\circ\) more than the bearing of the statue from the fountain.

Write down, in terms of \(x\), the bearing of the bell tower from the fountain. [1]

(b) The bearing of the bell tower from the fountain is also three times the bearing of the statue from the fountain.

Work out the bearing of the bell tower from the fountain. [4]