The rate at which the length of the shadow y increases is given by the formula:
dy/dt = (l1 - l2)/H * dh1/dt
Therefore, the rate at which the length of the shadow y increases is (l1 - l2)/H * 3 cm/hr.
The burning candle
A candle is placed a distance l1 from a thin block of wood of height H. The block is a distance l2 from a wall as shown in Figure 7.1. The candle burns down so that the height of the flame, h1 decreases at the rate of 3 cm/hr. Find the rate at which the length of the shadow y cast by the block on the wall increases. (Note: your answer will be in terms of the constants l1 and l2.
Help please, and thanks!
1 answer
1 answer