4400 Higher June 2005 Paper 4 Q7
7 The diagram shows a triangle \(LMN\).
\(MN = 15\) cm. \(LN = 8\) cm.
Angle \(LNM = 90^\circ\).
Diagram NOT accurately drawn
(a) Calculate the length of \(ML\). (3)
(b) Write down the value of \(\tan x^\circ\). (1)
| Scheme | Marks |
|---|---|
| \(8^2 + 15^2\) or 289 seen | M1 |
| \(\sqrt{\phantom{x}}\) | M1 |
| 17 cm | A1 |
| (3) |
Notes
M1: \(\tan x = 15/8\) dep on \(x\) used
M1: dep \(8/\cos x\)
A1: Answer rounds to 17.0
| Scheme | Marks |
|---|---|
| 15/8 or 1.875 or 1.88 seen | B1 |
| (1) | |
| (4 marks) |
Notes
B1: ISW