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The angle of elevation of a ladder leaning against a wall...

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Height and Distance
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The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:

Answer & Solution
Correct Answer: Option D
Height and Distance mcq solution image
Consider the diagram shown above where PR represents the ladder and RQ represents the wall.
$$\eqalign{ & \cos {60^ \circ } = \frac{{PQ}}{{PR}} \cr & \frac{1}{2} = \frac{{12.4}}{{PR}} \cr & PR = 2 \times 12.4 \cr & \,\,\,\,\,\,\,\,\,\, = 24.8\,m \cr} $$
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