Foundation January 2020 Paper 1R Q10
10 The accurate scale drawing shows the positions of two mobile phone masts, \(A\) and \(B\).
The scale is 1 cm to 2.5 km.
(a) Find the bearing of \(A\) from \(B\). (1)
(b) Work out the actual distance, in km, between \(A\) and \(B\). (2)
A third mobile phone mast, \(C\), is put up.
\(C\) will be on a bearing of 115° from \(A\).
\(C\) will be 20 km from \(B\).
(c) Find the position of \(C\).
Mark this point with a cross (×) and label it \(C\). (3)
Mark this point with a cross (×) and label it \(C\). (3)
| Scheme | Marks |
|---|---|
| 050 | B1 |
| (1) |
Notes
B1: ±2°, condone 50
| Scheme | Marks |
|---|---|
| 7 × 2.5 | M1 |
| 17.5 | A1 |
| (2) |
Notes
M1: allow 6.8 – 7.2 for 7
A1: accept 17 – 18
| Scheme | Marks |
|---|---|
| M1 | |
| M1 | |
| \(C\) marked within tolerance | A1 |
| (3) | |
| (6 marks) |
Notes
M1: for a bearing of 115 ± 2° from \(A\)
M1: for 20 ÷ 2.5 (= 8) or for an arc drawn 8 cm from \(B\) within tolerance