Higher November 2022 Paper 1 Q22
22 Here is a triangle \(ABC\).
Work out the value of \(\sin ABC\)
Give your answer in the form \(\dfrac{m}{n}\) where \(m\) and \(n\) are integers. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{65}{214}\) | B1 | for \(\sin 30 = 0.5\) |
| P1 | for use of the sine rule with values substituted, eg \(\dfrac{6.5}{\sin ABC} = \dfrac{10.7}{\sin 30}\) oe | |
| P1 | for \((\sin ABC =)\ \dfrac{6.5 \times \sin 30}{10.7}\) oe or for a complete process to find \(\sin ABC\), eg \((\sin ABC =)\ \dfrac{6.5 \times [0.5]}{10.7}\) oe | |
| A1 | for \(\dfrac{65}{214}\) oe eg \(\dfrac{325}{1070}\) |
Additional guidance
Answer of \(\dfrac{3.25}{10.7}\) or \(\dfrac{6.5}{21.4}\) gets 3 marks
Where [0.5] is their value of \(\sin 30\)
Answer must be in the form \(\dfrac{m}{n}\) where \(m\) and \(n\) are integers