4MA0 Higher June 2011 Paper 4 Q11

EdexcelHigherOld spec3 marksBasic Trigonometry

Right-angled triangle LMN with right angle at M, LN = 9.3 cm and angle LNM = 42 degrees

Diagram NOT accurately drawn

Calculate the length of \(LM\).
Give your answer correct to 3 significant figures.

(3)

Mark scheme

Scheme	Marks
Use of sin 42 or cos (90 − 42)	M1
9.3 × sin 42 or 9.3 cos (90 − 42)	M1
6.22	A1
	(Total 3 marks)

Notes

M1: \(9.3^2 - (9.3 \cos 42)^2\) (=38.72..)

M1: \(\sqrt{(\text{“}38.72..\text{”})}\) (M1 dep)

A1: awrt 6.22 6.22(2914…)

Apart from questions 5b, 8, 15d, 20b, 21b, 23, 24b (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply correct working.