Final answer:
To determine the depth of the pond, we can use the principle of equilibrium and the Pythagorean theorem. However, the mass of the lily and the length of the stem are needed to provide an exact answer.
Step-by-step explanation:
To determine the depth of the pond, we can use the principle of equilibrium. When the water lily is lifted 1 foot over the water's surface, it means that the buoyant force acting on the lily is equal to the weight of the lily. The buoyant force is the weight of the water displaced by the lily. So, we have:
Weight of lily = Buoyant force
m * g = FB
Where m is the mass of the lily and g is the acceleration due to gravity.
Since we know that the lily can be moved 11 feet to the side, we can use this information to find the length of the stem. If we consider the lily, the stem, and a right triangle formed by the lily, the stem, and the movement to the side, we can use the Pythagorean theorem:
h2 + 112 = l2
Where h is the depth of the pond and l is the length of the stem.
To find the depth of the pond, we need to find both the mass of the lily and the length of the stem. Without this information, we cannot provide an exact answer to the question.