(Solved): An open tank has a vertical partition and on one side contains gasoline with a density \( \rho=830 ...

An open tank has a vertical partition and on one side contains gasoline with a density \( \rho=830 \mathrm{~kg} / \mathrm{m}^{3} \) at a depth of \( 7.2 \mathrm{~m} \), as shown in the figure below. A rectangular gate that is \( 7.2 \mathrm{~m} \) high and \( 2.6 \mathrm{~m} \) wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, \( h \) (in meters), will the gate start to open? The density of water is \( 998 \mathrm{~kg} / \mathrm{m}^{3} \).