Foundation January 2019 Paper 1 Q19
19
Diagram NOT accurately drawn
\(ABC\) is a straight line.
Work out the length of \(AC\).
Give your answer correct to 1 decimal place.
(5)
| Scheme | Marks |
|---|---|
| \(\tan 20° = \dfrac{AB}{12.6}\) | M1 |
| (\(AB =\)) 12.6 tan 20 or 4.58(602...) or 4.6 | M1 |
| (\(BC^2 =\)) \(19.3^2 - 12.6^2\) or 372.49 − 158.76 or 213(.73) | M1 |
| (\(BC =\)) \(\sqrt{19.3^2 - 12.6^2}\) or \(\sqrt{\text{``}{213.73}\text{''}}\) or 14.6(195...) | M1 |
| 19.2 | A1 |
| (5) | |
| (5 marks) |
Notes
M1: or for \(AD = 12.6/\cos 20\) (= 13.4..) and \(12.6^2 + AB^2 = 13.4^2\)
M1: or for (\(AB =\)) \(\sqrt{13.4^2 - 12.6^2}\)
A1: for 19.19 – 19.21