A pole is standing vertically in a lake in such a way that 1/5 of the pole is in the mud, 2/3 of the pole is in the water, 1/8 of the pole is above the water, and an additional piece of the pole is br

A pole is standing vertically in a lake in such a way that 1/5 of the pole is in the mud, 2/3 of the pole is in the water, 1/8 of the pole is above the water, and an additional piece of the pole is broken off. The broken piece is 1 foot 3 inches. what is the depth of the lake at the location of the pole?