4MA0 Foundation June 2015 Paper 2 Q21
21
Diagram NOT accurately drawn
Work out the value of \(x\).
Give your answer correct to 2 decimal places.
(3)
| Scheme | Marks |
|---|---|
| \(\cos 39 = \dfrac{11.3}{x}\) oe | M1 |
| \((x =)\;\dfrac{11.3}{\cos 39}\) | M1 |
| 14.54 | A1 |
| (3) | |
| Total 3 marks |
Notes
M1: or \(\dfrac{x}{\sin 90} = \dfrac{11.3}{\sin(180 - 90 - 39)}\)
M1: or \(x = \dfrac{11.3}{\sin(180 - 90 - 39)} \times (\sin 90)\)
A1: awrt 14.54
Alternative
| Scheme | Marks |
|---|---|
\(\tan 39 = \dfrac{y}{11.3}\); \(y = 9.15\ldots\) \(\text{“}9.15\text{”}^2 + 11.3^2 = x^2\) | M1 |
| \((x =)\sqrt{\text{“}9.15\text{”}^2 + 11.3^2}\) oe | M1 |
| 14.54 | A1 |
Notes
M1: Must get to correct Pythagoras statement
A1: awrt 14.54 (NB: 14.5 with no working gains M0A0)