In the figure given below, AD = 4 cm, BD = 3 cm and CB = 12 cm, then cot ๐œƒ  equals

(a) 3/4  (b) 5/12   (c) 4/3   (d) 12/5

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  1. Class 10
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Question 14 In the figure given below, AD = 4 cm, BD = 3 cm and CB = 12 cm, then cot ๐œƒ equals (a) 3/4 (b) 5/12 (c) 4/3 (d) 12/5 To find cot ฮธ, We need to find AB In right ฮ” ABD By Pythagoras theorem AB2 = AD2 + BD2 AB2 = 42 + 32 AB2 = 16 + 9 AB2 = 25 AB2 = 52 AB = 5 cm Now, tan ๐œƒ = ๐ด๐ต/๐ต๐ถ tan ๐œƒ = 5/12 Thus, cot ๐œƒ = ๐Ÿ๐Ÿ/๐Ÿ“ So, the correct answer is (d)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.