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  4. A ladder is resting with the wall at an angle of 30°. A man is ascending the ladder at the rate of 3 ft/sec. His rate of approaching the wall is

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Q. A ladder is resting with the wall at an angle of $30^{\circ}$. A man is ascending the ladder at the rate of 3 ft/sec. His rate of approaching the wall is

Application of Derivatives

Solution:

His rate of approaching the wall
$= 3 \times \cos 60^{\circ} = \frac{3}{2}$ ft / sec.

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