question_answer

A ladder, leaning against a wall/makes an angle of \[60{}^\circ \] with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder.

Answer:

Let AB be the ladder leaning against a wall AC.

Then,                            \[\cos \,60{}^\circ =\frac{BC}{AB}\]

\[\frac{1}{2}=\frac{2.5}{AB}\]

\[AB=2.5\times 2=5\,m\]

\[\therefore \] Length of ladder is \[5\text{ }m\].