4400 Higher June 2007 Paper 4 Q11
11 Here are three similar triangles.
Diagrams NOT accurately drawn
Find the value of
(a) \(w\), (1)
(b) \(x\), (2)
(c) \(y\). (2)
| Scheme | Marks |
|---|---|
| 56 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(x/20 = 6/12\) or \(4/8\) oe | M1 |
| 10 or 10.0.... | A1 |
| (2) |
Notes
M1: or \(x/\sin 30 = 20/\sin(180 - 30 - 56)\)
| Scheme | Marks |
|---|---|
| \(y/10 = 4/6\) or \(8/12\) oe | M1 |
| 6.6 to 6.7 incl oe | A1 |
| (2) | |
| (5 marks) |
Notes
M1: or \(y = \sqrt{4^2 + 8^2 - 2 \times 4 \times 8 \times \cos \text{‘}56\text{’}}\)
or \(y/\sin 56 = 8/\sin(180 - 30 - 56)\)
A1: (a)(b): ft (a) M-mks only