O-LevelMathematicsTrigonometry4024/22 · Oct/Nov 2015 · Q57 Marks
The diagram shows a vertical radio mast, AB. Three of the wires that hold the mast in place are attached to it at F, H and D. The base A of the mast, and the ends E, G and C of the wires are in a straight line on horizontal ground.
- (a)The wire CD has length 65 m. It is attached to the mast at D where AD = 40 m. Calculate AC.[2]
- (b)The wire EF makes an angle of 25° with the horizontal and is of length 30 m. Calculate AF.[2]
- (c)AH = 35 m. The wire HG makes an angle of 30° with the mast AB. Calculate HG.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.
- [2] M1 for AC² + 40² = 65² oe
- 51.2
- [2] M1 for AF/30 = sin25 oe
- 12.7
- [3] M1 for 35/AG = cos30 oe and a further M1 for (AG =) 35/cos30 oe
- 40.4
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