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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:

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