4400 Higher June 2010 Paper 4 Q14
14
Diagram NOT accurately drawn
The area of the triangle is 6.75 cm2.
The angle \(x^\circ\) is acute.
Find the value of \(x\).
Give your answer correct to 1 decimal place.
(3)
| Scheme | Marks |
|---|---|
| \(\frac{1}{2} \times 6 \times 4 \times \sin x^\circ = 6.75\) oe | M1 |
| \(\sin x^\circ = \frac{6.75}{12}\) or \(\frac{9}{16}\) or 0.5625 | M1 |
| 34.2 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: isolating \(\sin x\)
A1: awrt 34.2