A $2$-metre ladder is placed against a vertical wall. The top of the ladder slides down the wall a

Question

A $2$-metre ladder is placed against a vertical wall. The top of the ladder slides down the wall at a constant speed of $4$ cm/s, with the top and bottom of ladder remained in contact with the vertical wall and horizontal ground. Find the rate of change of the angle between the ladder and the horizontal when the bottom of the ladder is $1.3$ metres away from the wall.

Accepted Answer

$-\dfrac{2}{65}\text{ rad s}^{-1}$

Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

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