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Height and Distance - General Aptitude

Q1:

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

A 2.3 m

B 4.6 m

C 7.8 m

D 9.2 m

ANS:D - 9.2 m

Let AB be the wall and BC be the ladder. Then, ACB = 60° and AC = 4.6 m.

AC = cos 60° = 1
BC 2
 BC = 2 x AC
  = (2 x 4.6) m
  = 9.2 m.