Question 124
The angle of elevation of a ladder leaning against a wall is $$60^\circ$$ and the foot of the ladder is 6.5 m away from the wall. The length of the ladder is:
Solution
from the above question we draw the diagramĀ
Let Lenght ladder = AC
then from theĀ $$ \triangle ABC $$,
Ā Ā $$ \cos 60^\circ =Ā \frac {AB} {AC} $$
Ā Ā Ā $$\Rightarrow \frac{1}{2} = \frac {6.5} {AC}$$
Ā Ā Ā $$\Rightarrow AC = 13Ā m $$Ā
thereforeĀ The length of the ladder = 13 AnsĀ
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