Higher January 2019 Paper 2R Q7

EdexcelHigherCurrent spec4 marksBasic Trigonometry

7 The diagram shows a trapezium.

Diagram NOT accurately drawn

Work out the value of \(y\).
Give your answer correct to 1 decimal place.

(4)

Mark scheme

Scheme	Marks
	M1
tan ‘35’ = \(\dfrac{x}{15}\) or tan ‘55’ = \(\dfrac{15}{x}\) or \(\dfrac{x}{\sin 35} = \dfrac{15}{\sin 55}\)	M1
\(x\) = 15 × tan ‘35’ (= 10.5...) or \(x = \dfrac{15}{\tan \text{‘}55\text{’}}\) (= 10.5…) or \(x = \dfrac{15}{\sin 55} \times \sin 35\) (= 10.5…)	M1
10.5 + 37 Answer: 47.5	A1
	(4)
	(4 marks)

M1: Forming a right-angled triangle with angle 125 – 90 marked or 55 marked

A1: awrt 47.5