Question 38 (i) [Case based] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at August 14, 2026 by Teachoo

One evening, Kaushik was in a park. Children were playing cricket. Birds were singing on a nearby tree of height 80m. He observed a bird on the tree at an angle of elevation of 45°. When a sixer was hit, a ball flew through the tree frightening the bird to fly away. In 2 seconds, he observed the bird flying at the same height at an angle of elevation of 30° and the ball flying towards him at the same height at an angle of elevation of 60°.

Question 38 (i)

At what distance from the foot of the tree was he observing the bird sitting on the tree?

[Case Based] One evening, Kaushik was in a park. Children were playing - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

part 2 - Question 38 (i) [Case based] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 38 (i) [Case based] - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

Next: Question 38 (ii) (Choice 1) → Remove Ads

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Transcript

We need to find distance of bird from foot of the tree. i.e we need to find CB Here, ∠ ABC = 90° In right angle triangle ABC tan C = (𝑆𝑖𝑑𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑡𝑜 𝑎𝑛𝑔𝑙𝑒" " 𝐶)/(𝑆𝑖𝑑𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑡𝑜 𝑎𝑛𝑔𝑙𝑒" " 𝐶) tan C = (" " 𝐴𝐵)/𝐵𝐶 tan 45° = 𝟖𝟎/𝑪𝑩 1 = 80/𝐶𝐵 CB = 80 m

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