Question : A ladder is resting against a wall. The angle between the foot of the ladder and the wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:
Option 1: 5.4
Option 2: 3.6
Option 3: 14.4
Option 4: 7.2
Answer (1)
20th Jan, 2024
Correct Answer: 7.2
Solution :
Let AC be the length of the ladder.
BC = 3.6 m
In $\triangle$ BAC,
$\cos 60^{\circ} = \frac{BC}{AC}$
⇒ $\frac{1}{2} = \frac{3.6}{AC}$
⇒ AC = 2 × 3.6 = 7.2 m
Hence, the correct answer is 7.2 m.
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