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The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 metre away from the wall. The length of the ladder is
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- 2.3 metre
- 4.6 metre
- 9.2 metre
- 7.8 metre
Correct Option: C
AB = Height of the wall
AC = Length of ladder = h metre
BC = b = 4.6 metre
∠ACB = 60°
∴ cos 60° = | AC |
⇒ | = | 2 | h |
⇒ h = (2 × 4.6) metre
= 9.2 metre