4MA0 Higher June 2012 Paper 4 Q6

EdexcelHigherOld spec3 marksBasic Trigonometry

Triangle LMN with a right angle at M, LM = 34 cm and angle MLN = 72 degrees

Diagram NOT accurately drawn

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

(3)

Mark scheme

Scheme	Marks
tan 72 or tan 18 selected	M1
(\(MN\)=) 34 × tan 72	M1
105	A1
	(Total 3 marks)

Notes

M1: or (\(MN\) =) 34 ÷ tan 18

A1: 104.64.... awrt 105

Alt: Sine rule method

Scheme	Marks
34/sin 18 = “\(MN\)”/sin 72	M1
(\(MN\)=) (34 × sin 72) ÷ sin 18	M1
105	A1

Notes

A1: 104.64.... awrt 105

Apart from questions 5, 7, 13c, 16b, 20, 21 and 22 (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.