Higher November 2021 Paper 2 Q15
15 Here is triangle \(ABC\).
(a) Find the length of \(BC\).
Give your answer correct to 3 significant figures. (3)
Give your answer correct to 3 significant figures. (3)
(b) Find the area of triangle \(ABC\).
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 11.4 | M1 | for start to method to find the length of \(BC\) eg. \(8^2 + 11^2 - 2 \times 8 \times 11 \times \cos 72\) |
| M1 | (dep on M1) for method to use correct order of operations, eg. \(64 + 121 - 54.38\ldots..\ (= 130.61\ldots)\) | |
| A1 | for answer in the range 11.4 to 11.5 |
Additional guidance
If an answer within the given range is seen in working and rounded incorrectly award full marks.
| Answer | Mark | Mark scheme |
|---|---|---|
| 41.8 | M1 | for \(0.5 \times 8 \times 11 \times \sin 72\ (= 41.8\ldots)\) |
| A1 | for answer in the range 41.5 to 41.9 |
Additional guidance
Any alternative method must be complete
If an answer within the given range is seen in working and rounded incorrectly award full marks.