First slide

Rate Measure

Question

A man is walking of the rate of 5 km/h towards the foot of a tower 16 m high. The roots at which he is approaching the top when he is 12 m from the tower is

Moderate

Solution

$\begin{array}{l} From fig (16)^{2} + x^{2} = y^{2} \\ ∴ 2 x \frac{d x}{d t} = 2 y \frac{d y}{d t} \\ At x = 12 \\ ∴ 12 \times 5 = 20 \frac{d y}{d t} or \frac{d y}{d t} = 3 km / h \end{array}$

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