Higher November 2021 Paper 2 Q6
6 \(ABC\) is a right-angled triangle.
(a) Work out the length of \(BC\).
Give your answer correct to 1 decimal place. (2)
Give your answer correct to 1 decimal place. (2)
\(PQR\) is a right-angled triangle.
(b) Work out the size of the angle marked \(x\).
Give your answer correct to 1 decimal place. (2)
Give your answer correct to 1 decimal place. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 17.8 | M1 | for \(\tan 56 = \dfrac{x}{12}\) or \((BC) = 12 \times \tan 56\) oe or alternative method to find \(BC\) |
| A1 | for an answer in the range 17.7 to 17.8 |
Additional guidance
For any alternative method candidates must arrive at an equation with BC as the only unknown
If an answer in the range 17.7 to 17.8 is given in the working space then incorrectly rounded, award full marks.
| Answer | Mark | Mark scheme |
|---|---|---|
| 33.6 | M1 | for \(\cos x = \dfrac{15}{18}\) or \(\cos x = 0.83..\) or \(x = \cos^{-1} \dfrac{15}{18}\) or alternative method to find \(x\) |
| A1 | for an answer in the range 33.5 to 33.91 |
Additional guidance
For any alternative method candidates must arrive at an equation with \(x\) as the only unknown
If an answer in the range 33.5 to 33.91 is given in the working space then incorrectly rounded, award full marks.