If the angles of elevation of the top of the candle from two coins distant ‘a’ cm and ‘b’ cm (a > b) from its base and in the same straight line from it are 30° and 60° , then find the height of the candle.
Last updated at Oct. 26, 2020 by
Transcript
Question 32 If the angles of elevation of the top of the candle from two coins distant ‘a’ cm and ‘b’ cm (a > b) from its base and in the same straight line from it are 30° and 60° , then find the height of the candle. Let AB be the candle and let the height of candle be ℎ cm Given BD = a and BC = b In Δ ACD tan A = 𝐶𝐷/𝐴𝐶 tan 30° = h/a 1/√3 = h/a 𝒉 = 𝒂/√𝟑 In Δ BCD tan B = 𝐶𝐷/𝐵𝐶 tan 60° = h/b √3 = h/b 𝒉 = b√3 Multiplying (1) and (2) ℎ × ℎ = 𝒂/√𝟑 × b√3 ℎ^2 = ab 𝒉 = √𝒂𝒃 cm Hence, Height of the Candle= √𝑎𝑏 cm
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
Question 1 (Choice - 2)
Question 2
Question 3 Important
Question 4
Question 5 (Choice - 1)
Question 5 (Choice - 2)
Question 6
Question 7 (Choice - 1)
Question 7 (Choice - 2)
Question 8 Important
Question 9 (Choice - 1)
Question 9 (Choice - 2) Important
Question 10
Question 11 Important
Question 12
Question 13
Question 14
Question 15
Question 16 (Choice - 1)
Question 16 (Choice - 2)
Question 17 (Case Based Question) Important
Question 18 (Case Based Question) Important
Question 19 (Case Based Question) Important
Question 20 (Case Based Question) Important
Question 21 Important
Question 22 (Choice - 1)
Question 22 (Choice - 2)
Question 23 Important
Question 24
Question 25 (Choice - 1)
Question 25 (Choice - 2)
Question 26 Important
Question 27
Question 28 (Choice - 1)
Question 28 (Choice - 2)
Question 29 Important
Question 30 (Choice - 1) Important
Question 30 (Choice - 2)
Question 31 Important
Question 32 You are here
Question 33 Important
Question 34 (Choice - 1)
Question 34 (Choice - 2)
Question 35 Important
Question 36 Important
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
About the Author