4MA0 Foundation June 2017 Paper 1 Q20
20
Diagram NOT accurately drawn
Calculate the length of \(AC\).
Give your answer correct to 3 significant figures.
(3)
| Scheme | Marks |
|---|---|
\(\cos 22 = \dfrac{14.9}{AC}\) or \(\sin(90 - 22) = \dfrac{14.9}{AC}\) or \(\dfrac{AC}{\sin 90} = \dfrac{14.9}{\sin(90 - 22)}\) oe | M1 |
\((AC =)\;\dfrac{14.9}{\cos 22}\) or \((AC =)\;\dfrac{14.9}{\sin 68}\;(\times \sin 90)\) | M1 |
| 16.1 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: M1 for
\(BC = 14.9 \times \tan 22\) oe (= 6.019 – 6.02)
AND
\((AC^2 =)\;14.9^2 + 6.019\ldots^2\)
M1: M1 for \((AC =)\sqrt{14.9^2 + 6.019\ldots^2}\)
A1: Accept 16.07 – 16.1