Higher June 2017 Paper 4 Q7
7 A, B, C and D are four towns.
B is 25 kilometres due East of A.
C is 25 kilometres due North of A.
D is 45 kilometres due South of A.
Not to scale
(a) Work out the bearing of B from C. [2]
(b) Calculate the bearing of D from B. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 135 | 2 | B1 for angle 45 | e.g. 45 marked at ACB or ABC, 180 – 45, 90 + 45 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 209 to 209.1 | 4 | M2 for \(\tan^{-1}(45 \div 25)\) or \(\tan^{-1}(25 \div 45)\) soi by 61, 60.94 to 60.95 or 29[.1], 29.05... or M1 for tan [=] 45÷25 or tan [=] 25÷45 | Accept longer methods but they must get to the equivalent point to gain credit e.g. if they find the hypotenuse, they score M0 until they start to use sin or cos. Can be implied by their answer |
| AND | |||
| M1 for 270 – their angleABD or 180 + their angleADB | |||