CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard →
Class 10
Solutions of Sample Papers for Class 10 Boards

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 April 16, 2024 by

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?

Slide79.JPG

Slide80.JPG
Slide81.JPG

Transcript

We need to find distance of bird from foot of the tree. i.e we need to find CB Here, ∠ ABC = 90Β° In right angle triangle ABC tan C = (𝑆𝑖𝑑𝑒 π‘œπ‘π‘π‘œπ‘ π‘–π‘‘π‘’ π‘‘π‘œ π‘Žπ‘›π‘”π‘™π‘’" " 𝐢)/(𝑆𝑖𝑑𝑒 π‘Žπ‘‘π‘—π‘Žπ‘π‘’π‘›π‘‘ π‘‘π‘œ π‘Žπ‘›π‘”π‘™π‘’" " 𝐢) tan C = (" " 𝐴𝐡)/𝐡𝐢 tan 45Β° = πŸ–πŸŽ/π‘ͺ𝑩 1 = 80/𝐢𝐡 CB = 80 m

Go Ad-free
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.