Higher June 2023 Paper 3 Q10
10 \(ABD\) is a triangle.
\(C\) is a point on \(BD\).
Work out the length of \(DC\).
Give your answer correct to 1 decimal place. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 3.1 | P1 | for using sin to find length of \(AC\), eg \(6.8 \times \sin 41\) or a full process to find \(AC\) or \((AC =)\ 4.46\ldots\) or a full process to find \(AD\) or \((AD =)\ 5.44\ldots\) |
| P1 | for a complete process to find a relationship involving \(DC\) eg \(\tan 55 = \dfrac{\text{``}4.46\ldots\text{''}}{DC}\) or \((DC =)\ \dfrac{\text{``}4.46\ldots\text{''}}{\tan 55}\) or \(\cos 55 = \dfrac{DC}{\text{``}5.44\ldots\text{''}}\) | |
| A1 | answer in the range 3.1 to 3.2 |
Additional guidance
Accept rounded or truncated figures.
If a correct answer within the range is shown in working but is incorrectly rounded, award full marks.