4MA0 Higher January 2018 Paper 4 Q4
4 The accurate scale drawing shows the positions of two trees, \(B\) and \(C\), in a field.

The scale of the drawing is 1 cm to 20 m.
A third tree, \(D\), is also in the field.
\(D\) is 110 m from \(B\) and on a bearing of 220° from \(C\).
Find the position of \(D\).
Mark this point with a cross (×) and label it \(D\).
(3)
| Scheme | Marks |
|---|---|
| 110 ÷ 20 (= 5.5) | M1 |
| Point marked on bearing of 220° from \(C\) | M1 |
| \(D\) marked | A1 |
| (3) |
Notes
M1: may be implied by a line of length 5.5 cm or a circle of radius 5.5 cm; allow ±2 mm [or \(D\) marked 5.5 cm from \(B\)]
M1: allow ±2°
A1: \(D\) marked in correct position (overlay)