Higher November 2017 Paper 3 Q17
17 \(ABC\) and \(ADC\) are triangles.
The area of triangle \(ADC\) is 56 m2
Work out the length of \(AB\).
Give your answer correct to 1 decimal place. (5)
| Answer | Mark | Notes |
|---|---|---|
| 14.4 | P1 | for start of process, eg \(0.5 \times 11 \times CD \times \sin 105 = 56\) |
| P1 | for complete process to find \(CD\), eg \((CD =)\ \dfrac{56}{0.5 \times 11 \times \sin 105}\) oe \((= 10.54)\) | |
| P1 | for process to find \(AC\), eg \((AC^2 =)\ 11^2 + [CD]^2 - 2 \times 11 \times [CD] \times \cos 105\ (AC = 17.09)\) | |
| P1 | for process to find \(AB\), eg \(\dfrac{AB}{\sin 48} = \dfrac{[AC]}{\sin 118}\) | |
| A1 | answer in range 14.3 to 14.4 |