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all right hereamp;#39;s another related rates problem it says a trough of water is eight meters in length and its ends are in the shape of isosceles triangles whose width is five meters and whose height is two meters if water is being pumped in at a constant rate of 6 meter cubic meters per second at what rate is the width of the water changing when the water has a height of 120 centimeters to start letamp;#39;s go through and identify all of the quantities that we know so we have a trough of water that is eight meters in length so this is going to be eight meters down here the ends of the trough are isosceles triangles so that means each you know leg is going to be congruent the width of the triangles is 5 meters so this is 5 meters here and itamp;#39;s going to be the same over here and the height is 2 meters so we have all of that that says if water is being pumped in at a constant rate of six cubic meters per second so thatamp;#39;s how the volume of this of the water is changi