A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If Alexander grabs the ladder at its base and
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Answer:
Step-by-step explanation:
From similar triangles, see diagram in attachment
We solve for to obtain,
The formula for calculating the volume of a cone is
We substitute the value of to obtain,
This implies that,
We now differentiate both sides with respect to to get,
We were given that water is drained out of the tank at a rate of
This implies that .
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means .
We substitute this values to obtain,
