4MA0 Foundation January 2012 Paper 1 Q20

EdexcelFoundationOld spec5 marksBasic Trigonometry

Diagram NOT accurately drawn

Triangle \(PQR\) has a right angle at \(Q\).
\(PQ = 3.4\) cm and \(PR = 5.8\) cm.

(a) Work out the size of angle \(QRP\).
Give your answer correct to 1 decimal place. (3)

The length 5.8 cm, of \(PR\), is correct to 2 significant figures.

(b)

(i) Write down the upper bound of the length of \(PR\).

(ii) Write down the lower bound of the length of \(PR\).

(2)

Mark scheme (a)

Scheme	Marks
Use of sine or \(\dfrac{\sin x}{3.4} = \dfrac{\sin 90}{5.8}\)	M1
\(\sin \text{“}x\text{”} = 3.4 / 5.8\) (=0.586..)	M1
35.9	A1
	(3)

M1: Sine must be selected for use.

A1: (35.888...) Use isw on awrt 35.9