Higher June 2022 Paper 2R Q15

EdexcelHigherCurrent spec3 marksAdvanced Trigonometry

15 The diagram shows a kite \(ABCD\)

Diagram NOT accurately drawn

\(AB = 6\) cm \(BC = 11\) cm Angle \(ABC = 118^\circ\)

Calculate the area of the kite.
Give your answer correct to 3 significant figures.

(3)

Mark scheme

Scheme	Marks
\(\dfrac{1}{2} \times 6 \times 11 \times \sin 118\;(= 29.1\ldots)\)	M1
eg \(2 \times \dfrac{1}{2} \times 6 \times 11 \times \sin 118\)	M1
58.3	A1
	(3)
	(3 marks)

M1: for the area of half of the kite

M1: for a complete method

A1: accept 58.2 – 58.3