CBSE Class 10 Maths (Standard) 2025 · Paper 30/1/1 · Question 38
Case Study - 3: Amrita stood near the base of a lighthouse, gazing up at its towering height. She measured the angle of elevation to the top and found it to be . Then, she climbed a nearby observation deck, 40 metres higher than her original position and noticed the angle of elevation to the top of the lighthouse to be . Based on the above given information, answer the following questions.
- (i)If CD is h metres, find the distance BD in terms of 'h'.[1]
- (ii)Find distance BC in terms of 'h'.[1]
- (iii)(a)Find the height CE of the lighthouse. [Use ][2]
- (iii)(b)OR — Find distance AE, if AC = 100 m.[2]
Answer
(i) The distance is m; (ii) The distance is m; (iii)(a) The height of the lighthouse is m; (iii)(b) The distance is m.
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