Basic Trigonometry: WJEC GCSE Intermediate November 2022 Unit 2 Q15

Your progress

Ticks are kept only in this browser: clearing your browsing data or changing device loses them. · ·

Intermediate November 2022 Unit 2 Q15

WJECIntermediateCurrent spec3 marksBasic Trigonometry

15. Calculate the length of the side YZ in the triangle XYZ shown below. [3]

Diagram not drawn to scale

Mark scheme

Scheme	Marks	Comments
YZ = \(\dfrac{7}{\cos 41(^\circ)}\) or 7 ÷ cos 41(°)	M2	Award M2 for YZ = 7 ÷ sin 49 (×sin90) or \(\dfrac{7\,(\times \sin 90)}{\sin 49}\) Award M1 for one of the following: \(\cos 41 = \dfrac{7}{YZ}\) \(\sin 49 = \dfrac{7}{YZ}\) \(\dfrac{YZ}{\sin 90} = \dfrac{7}{\sin 49}\).
= 9·27(…) or 9·28 (cm) or 9.3 (cm)	A1	Accept 9 (cm) from correct working. CAO.

Scheme	Marks	Comments
Correct use of ‘two-step’ method.	M2	A partial trigonometric method is M0.
= 9·27(…) or 9·28 (cm) or 9.3 (cm)	A1	Accept 9 (cm) from correct working.