standard_description: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
problem_activity: Task
A rectangular tank is $50\text{ cm}$ wide and $60\text{ cm}$ long.  It can hold up to $126$ $\ell$ of water when full.  If Amy fills $\frac23$ of the tank as shown, find the height of the water in centimeters. (Recall that $1$ $\ell = 1000\text{ cm}^3$.)
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