O-LevelMathematicsTrigonometry4024/21 · May/June 2018 · Q108 Marks
A boat leaves A and travels 12 km to B.
- (a)The boat leaves A at 10 25 and travels at an average speed of 15 km/h. At what time does the boat arrive at B?[2]
- (b)The bearing of B from A is 056°. B is 2 km due west of C. Calculate AC.[4]
- (c)C is the base of a cliff. The top of the cliff, D, is vertically above C. DC is perpendicular to BC and DC = 105 m. Calculate the angle of elevation of D from B.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [2] 11 13
- [2] M1 for 12/15 [x60] oe
- [4] 13.7 or 13.70...
- [4] B1 for 146° AND
- [4] M2 for √12² + 2² – 2×12×2×cos146
- [4] or M1 for 12² + 2² – 2 × 12 × 2 × cos 146
- [4] Alternative
- [4] B1 for 9.95 or 9.948 to 9.949 or 6.71[0...]
- [4] AND
- [4] M2 for √their6.71² + (their9.94 + 2)²
- [4] or M1 for their 6.71² + (their9.94 + 2)²
- [2] 3.0 or 3.00 to 3.01
- [2] M1 for tan.. = figs105/figs2 oe
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →