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  9. Q124

SSC CHSL 2014 · Question 124 of 209

DIRECTIONS : In Question Nos. 96 to 100, a part of the sentence is A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. Form the top of the pole is the angle of elevation of the top of the tower and angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is

  1. A20 m
  2. B30 m
  3. C40 mCorrect
  4. D50 m

Answer: C. 40 m

Explanation

A 60° E B 30° 10 m 10 m C D ED = BC = 10 m In DABE, tan60° = AB EB AB = Þ = 3 AB 3EB ...(1) EB In DEBC, tan 30° = BC EB 1 10 = Þ = EB 10 3m EB 3 Putting value of EB in (1) ( ) = 3 10 3 30m AB = AC = AB + BC = 40 m

Source: SSC CHSL Solved Paper 16-11-2014 (Disha Publications) · reliable-secondary

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