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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 15 m of the tower; find length of the ladder.
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Solution
Given that the ladder makes an angle of 30° with the ground and reaches up to a height of 15 m of the tower which is shown in the figure below:
Suppose the length of the ladder is x m
From the figure
`(15)/x` = sin 30° ...`[because "Perp."/"Hypot." = "sin"]`
`(15)/x = (1)/(2)`
x = 30 m
Therefore the length of the ladder is 30 m.
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