4MA0 Higher June 2013 Paper 3 Q10
10
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 1 decimal place.
(3)
| Scheme | Marks |
|---|---|
| use of cos | M1 |
\(\cos(\text{“}x\text{”}) = \dfrac{8.3}{9.5}\;(= 0.87\ldots)\) or \((\text{“}x\text{”} =)\ \cos^{-1}\left(\dfrac{8.3}{9.5}\right)\) | M1 |
| 29.1 | A1 |
| (3) |
Notes
M1: cos must be selected for use in trig ratio NOT Cosine Rule
A1: for awrt 29.1 e.g. (29.1103...)
or M2 for sin and \(\dfrac{\sqrt{\text{“}21.36\text{”}}}{9.5}\) following correct Pythagoras
or M2 for tan and \(\dfrac{\sqrt{\text{“}21.36\text{”}}}{8.3}\) following correct Pythagoras
or correct Pythag and then correct use of sine or cosine rule with “21.36”