4MA0 Foundation January 2015 Paper 1R Q22

Diagram NOT accurately drawn

Town \(B\) is 35 km east and 80 km north of town \(A\).

Work out the bearing of town \(A\) from town \(B\).
Give your answer correct to the nearest degree.

(4)

Mark scheme

Scheme	Marks
\(\tan A = \dfrac{80}{35}\) or \(\tan B = \dfrac{35}{80}\)	M1
\((A =)\tan^{-1}\left(\dfrac{80}{35}\right)\) or \((B =)\tan^{-1}\left(\dfrac{35}{80}\right)\)	M1
(A =) 66.37... or (B =) 23.62...	A1
204	B1
	(4)
	(4 marks)

A1: Accept answers that round to 66 or 24(allow answers without labels)

B1: Allow answers in range 203.6 – 204
ft for correct conversion to bearing unless 180 + 66