Question 109

A man is climbing a ladder which is inclined to the wall at an angle of 30°. If he ascends at a rate of 2 m/s, then he approaches the wall at the rate of

Solution

Let BC = x and AC = y

$$\therefore sin 30 = \frac{BC}{AC}$$

=> $$\frac{1}{2} = \frac{x}{y}$$

=> $$y = 2x$$

After 1 second, required speed, $$x = \frac{y}{2}$$

= $$\frac{2}{2} = 1$$ m/s


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