O-LevelMathematicsTrigonometry4024/21 · May/June 2016 · Q56 Marks
(a) [Figure 5.1] AB is vertical and CB is horizontal. AB = 31 m and CB = 115 m. Calculate the angle of depression of C from A. (b) [Figure 5.2] J and K are two positions at sea. The base of a lighthouse is at L. J is due East of L and K is due South of L. KL = 354 m and KJ = 1100 m.
- (a)AB is vertical and CB is horizontal. AB = 31 m and CB = 115 m. Calculate the angle of depression of C from A.[3]
- (b)(i)Calculate LĴK.[2]
- (b)(ii)Hence find the bearing of K from J.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [3] (a) 15.1 or 15.08(.....
- [3] (a) M1 for tan θ = 31/115 or tan θ = 115/31
- [3] (a) A1 for θ = 15.1 or θ = 74.9
- [2] (b)(i) 18.8 or 18.77......
- [2] (b)(i) M1 for sin θ = 354/1100
- [1ft] (b)(ii) 251 or 251.2(.......
- [1ft] (b)(ii) 270 - their LJK final ans.
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