O-LevelMathematicsTrigonometry4024/22 · May/June 2020 · Q36 Marks
A light, L, is fixed on a building 8 m above the base, B, of the building.
- (a)[Figure 3.1] A point, P, is on the horizontal ground 12m from B. Calculate the angle of elevation of L from P.[2]
- (b)[Figure 3.2] A ladder is placed on the ground at Q to reach the light, L. The ladder makes an angle of 70° with the ground. Calculate QL.[2]
- (c)[Figure 3.3] A vertical pole, RS, of length 1.6m is placed touching the horizontal ground. The light produces a shadow, TS, of the pole on the horizontal ground. LRT is a straight line and TB = 6.5m. Calculate TS.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [2] (a) 33.7 or 33.69...
- [2] M1 for tan = 8/12 oe
- [2] (b) 8.51 or 8.513...
- [2] M1 for sin 70 = 8/QL oe
- [2] (c) 1.3
- [2] M1 for 1.6/TS = 8/6.5 oe
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