Question : The angle of elevation of a ladder leaning against a house is 60°, and the foot of the ladder is 6.5 metres from the house. The length of the ladder is:
Option 1: $\frac{13}{\sqrt{3}}$ metres
Option 2: $13$ metres
Option 3: $15$ metres
Option 4: $3.25$ metres
Answer (1)
25th Jan, 2024
Correct Answer: $13$ metres
Solution :
Given: BC = 6.5 m
In $\Delta$ ABC,
$\cos 60°=\frac{BC}{AC}$
⇒ $\frac{1}{2}=\frac{6.5}{AC}$
⇒ AC $=6.5×2=13$ metres
Hence, the correct answer is $13$ metres.
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