CBSE Class 10 Maths (Basic) 2024 · Paper 430/5/1 · Question 38
Two poles of different heights stand on level ground at a distance of 40 m. Both poles are supported by wires attached from the top of each pole to the bottom of the other. A coupling is placed at point C, where the two wires cross. In the figure, the wire makes an angle of with the ground at , the wire makes an angle of with the ground at , and m.
- (i)Find the height of pole AB.[1]
- (ii)Find the height of pole PQ.[1]
- (iii)(a)If the angle of elevation of the top of pole PQ from the top of pole AB is 30 degrees, find the distance BQ.[2]
- (iii)(b)If the coupling is at a height of 20 m from the ground, how far down the wire from the smaller pole AB is the coupling? (OR)[2]
Answer
(i) m; (ii) m; (iii)(a) m; OR (iii)(b) The coupling is m down the wire from .
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