the angle of elevation of a ladder leaning against a wall is 60degrees

1.	the angle of elevation of a ladder leaning against a wall is 60degrees and the foot of the length of ladder is 4.6 m away from the wall .the length of the ladder is
Answer» $From \:the \: figure \:above ,$ $In \: \triangle ABC ,$ $Distance \:from \:base \:of \:the \: wall \:to$ $foot \:of \:the \: ladder ( BC) = 4.6 \:m$ $Angle \:of \: elevation \: a \: ladder \: leaning$ $a \:wall \: is \: 60\degree$ $Cos 60\degree = \frac{CB}{AC}$ $Let \: length \:of \: the \: ladder = AC$ $\implies \frac{1}{2} = \frac{4.6}{AC}$ $\implies AC = 4.6 \times 2$ $\implies AC = 9.2 \:m$ THEREFORE., $\red{Length \:of \: the \: ladder} \green{=9.2 \:m}$ •••♪