A civil engineer has been asked to design a drainage system to reduce flood damage during the rainy reason. She produced a fancy design with a triangular cross section as shown in Figure 2. Two months after the structure was completed, there was a heavy rainfall and water gushed into the drain at the rate of 5m3/s. If the drain is 10m deep, 50m long and 8m wide across the top, at what rate is the depth of the water increasing at the instant that the water depth is 6m?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A civil engineer has been asked to design a drainage system to reduce flood
damage during the rainy reason. She produced a fancy design with a triangular cross
section as shown in Figure 2. Two months after the structure was completed, there was
a heavy rainfall and water gushed into the drain at the rate of 5m3/s. If the drain is
10m deep, 50m long and 8m wide across the top, at what rate is the depth of the water
increasing at the instant that the water depth is 6m?

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