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Question
A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder.
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Solution
Suppose the length of ladder is x m.
From the figure, we have
`(18)/x` = sin30° ....`[∵ sin = "Perpendicular"/"Hypotenuse"]`
⇒ `(18)/x = (1)/(2)`
⇒ x = 36
Thus, the length of ladder is 36m.
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