Higher November 2022 Paper 2 Q20
20 \(ABCDEFGH\) is a cuboid.
\(AD = 9\) cm
\(FD = 13\) cm
Angle \(GHF = 49^\circ\)
Work out the size of angle \(FAH\).
Give your answer correct to the nearest degree. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 56 | P1 | for a correct process to find \(AF\), eg \(\sqrt{13^2 - 9^2}\ (= 9.38\ldots)\) or \(2\sqrt{22}\) or \(\sqrt{88}\) |
| P1 | for a correct process to find \(FH\), eg \(\dfrac{9}{\cos(49)}\ (= 13.7\ldots)\) | |
| P1 | for a correct trig statement involving \(FAH\), eg \(\tan(FAH) = \dfrac{\text{``}13.7\ldots\text{''}}{\text{``}9.38\ldots\text{''}}\) | |
| A1 | answer in the range 55.6 to 56 |
Additional guidance
Decimal values truncated or rounded to 3 sf or more
If a correct answer within the range is shown in working but incorrectly rounded award full marks