After hitting the tree, how far did the ball travel in the sky when Kaushik saw the ball?
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CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard
Last updated at Dec. 13, 2024 by Teachoo
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Transcript
We need to find Distance the ball travelled after hitting the tree Given that, After hitting the tree, ball flew towards him i.e we need to find FA Now, FA = GB = CB – CG = 80 − CG ∴ We need to find CG In right angle triangle FCG tan C = (𝑆𝑖𝑑𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑡𝑜 𝑎𝑛𝑔𝑙𝑒" " 𝐶)/(𝑆𝑖𝑑𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑡𝑜 𝑎𝑛𝑔𝑙𝑒" " 𝐶) tan C = (" " 𝐹𝐺)/𝐶𝐺 tan 60° = 80/𝐶𝐺 √3 = 80/𝐶𝐺 CG = 𝟖𝟎/√𝟑 m Thus, GB = CB – CG = 80 − 𝟖𝟎/√𝟑 = 80(1 − 𝟏/√𝟑) m