4400 Higher June 2009 Paper 3 Q7
7

Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 1 decimal place.
(3)
| Scheme | Marks |
|---|---|
| sin | M1 |
| \(\dfrac{3.6}{7.9}\) or 0.4556... | A1 |
| 27.1 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for sin
or M1 for cos and \(\dfrac{\sqrt{\text{“}49.45\text{”}}}{7.9}\) following correct Pythagoras and A1 for 0.8901...
or M1 for tan and \(\dfrac{3.6}{\sqrt{\text{“}49.45\text{”}}}\) following correct Pythagoras and A1 for 0.5119...
A1: for \(\dfrac{3.6}{7.9}\) oe or 0.4556...
A1: for answer rounding to 27.1