SOLUTION: A trough is formed by nailing together , edge to edge, two boards 3.5 meter in length so that the right section is a right triangle . If 15 gallons of water are poured into the tro

Question 1015850: A trough is formed by nailing together , edge to edge, two boards 3.5 meter in length so that the right section is a right triangle . If 15 gallons of water are poured into the trough and the trough is held level so that a right section is an isosceles right triangle, how deep is the water? Note that 1 gallon = 3,700 cubic centimeters
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
The problem needs to be broken into steps -
15 gallons is 3700*15 cc or 55500 cc
The length of the trough is 3.5m or 350 cm.
We divide and get a cross section of 158.57 sq cm.
Next, see how the height cuts the triangle into 2 new triangles that form a square?

Since we have the cross section, the area of that triangle, it's just the square root of the number 158.57 or 12.593 cm
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