The depth of the pond is 8 feet and this can be determined by using the Pythagorean theorem.
Given :
- A water lily is floating in a murky pond rooted on the bottom of the pond by a stem of unknown length.
- The lily can be lifted 2 feet over the water and moved 6 feet to the side.
The Pythagorean theorem can be used to determine the depth of the pound. The Pythagorean theorem according to the attached diagram is given by:
[tex]\rm (BD)^2 = (BC)^2+(CD)^2[/tex]
Now, put the value of the given lengths according to the attached diagram in the above equation.
[tex](x+2)^2= 6^2+x^2[/tex]
[tex]x^2+4+4x = 36+x^2[/tex]
4x = 32
x = 8
Therefore, the depth of the pond is 8 feet.
For more information, refer to the link given below:
https://brainly.com/question/15190643
