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Question:

A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5m away from the wall, find the length of the ladder.

Solution:

Let AC be a ladder, AB is the wall and BC is the ground as shown in the figure.
We know that
cos60° = BC/AC
1/2 = 2.5/AC
AC = 5 m
Therefore, the length of ladder is 5 m.