What is the maximum height that a ladder of kength 30 m can reach if the maximum angle it can be placed at is 30 degrees to the horizontal.

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A ladder that is 30 m long can be placed on the ground such that the angle with the horizontal does not exceed 30 degrees.

The maximum height that the ladder can reach is h, where h/30 = sin 30

=> 1/2 = h/30

=> h = 15

The ladder...

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A ladder that is 30 m long can be placed on the ground such that the angle with the horizontal does not exceed 30 degrees.

The maximum height that the ladder can reach is h, where h/30 = sin 30

=> 1/2 = h/30

=> h = 15

The ladder can reach a height of 15 m with the given constraints.

Approved by eNotes Editorial Team