4400 Higher June 2008 Paper 3 Q6
6
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your value correct to 1 decimal place.
(3)
| Scheme | Marks |
|---|---|
| \(\tan x^\circ = \dfrac{3}{8} = 0.375\) | M1 A1 |
| 20.6 | A1 |
| (3) | |
| (3 marks) |
Notes
M1 A1: M1 for tan
A1 for \(\frac{3}{8}\) or 0.375
or M1 for sin and \(\dfrac{3}{\sqrt{\text{“}73\text{”}}}\) following correct Pythagoras and A1 for 0.3511...
or M1 for cos and \(\dfrac{8}{\sqrt{\text{“}73\text{”}}}\) following correct Pythagoras and A1 for 0.9363...
A1: for 20.6 or better
(Accept 20.55604... rounded or truncated to 4 sig figs or more )