Higher June 2024 Paper 2 Q5
5 The diagram shows triangle \(ABC\)
Diagram NOT accurately drawn
Work out the value of \(x\)
Give your answer correct to one decimal place.
(3)
| Scheme | Marks |
|---|---|
\(\sin 34 = \dfrac{x}{6.5}\) or \(\dfrac{x}{\sin 34} = \dfrac{6.5}{\sin 90}\) oe \(6.5^2 - (6.5 \times \cos 34)^2\) or \(\cos 56 = \dfrac{x}{6.5}\) oe | M1 |
\((x =)\; 6.5 \times \sin 34\) or \(x = \dfrac{6.5 \times \sin 34}{\sin 90}\) or \((x =)\sqrt{6.5^2 - (6.5 \times \cos 34)^2}\) or \((x =)\; 6.5 \times \cos 56\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 3.6 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: a correct trig statement for \(x\)
M1: a fully correct method to find \(x\)
A1: awrt 3.6