4MA0 Foundation June 2016 Paper 1 Q17
17
Diagram NOT accurately drawn
Work out the length of AB.
Give your answer correct to 1 decimal place.
(3)
| Scheme | Marks |
|---|---|
\(\sin 53^\circ = \dfrac{AB}{13.4}\) or \(\dfrac{\sin 53}{AB} = \dfrac{\sin 90}{13.4}\) or \(\dfrac{AB}{\sin 53} = \dfrac{13.4}{\sin 90}\) or \(\cos 37 = \dfrac{AB}{13.4}\) | M1 |
\(13.4 \times \sin 53^\circ\) or \(\dfrac{13.4}{\sin 90} \times \sin 53\) or \(13.4 \times \cos 37\) | M1 |
| 10.7 | A1 |
| (3) |
Notes
A1: awrt 10.7
Alternative methods
M1 for \(AC\) or angle \(B\) evaluated correctly AND then used in a correct method to find \(AB\)
eg. \(AB^2 + 8.06..^2 = 13.4^2\), \(\tan 53 = \dfrac{AB}{8.06...}\)
M1 for a fully correct method
eg.; \(\sqrt{13.4^2 - 8.06..^2}\), \(8.06\ldots \times \tan 53\)