Please help!!!!Easy 10 points!(8th grade work)?

~ OKAY,SO HERE IS THE QUESTION.~

A water lily with a rigid stem extends one feet above the surface of the water when pulled over.It disappears beneath the water at a distance 3 feet from where the stem originally entered the water.How deep is the Pond?Please try to show your work and explain how you got your answer!Thank You.

Please help!!!!Easy 10 points!(8th grade work)?
Ok, I look at this and it seems to require trigonometry -- unless I'm making it too difficult. And you contend you're in the 8th grade?



Here's a hint, if it's on a test, it could be a trap to see who cheats by getting somebody to do the work for them. Unless you're doing trig, you could get in serious trouble.



Ok, I worked it out using trig... and the answer is incredibly elementary... Let me work on it a little.



\Ok, it is kid of simple...

You have a right triangle of which one leg is the depth of the water (d). The other leg is that 3 feet.. The length of the hypotenuse is d+1 (the length of the stem is the depth (d) plus 1 foot.



Good old Pythagoras said

d^2 + 3^2 = (d+1)^2



Multiply the right side out, and solve for d



And it didn't require trig... sorry about that first stuff. But I had to derive a proof in front of the head of the math department chairman, my math advisor, the professor who gave the problem, and a couple of professors who wanted to know how I did it... just because I figured out a trap problem. Didn't want you to get into trouble. Two other things -- to use this approach you have to have worked with some algebra and, of course, the Pythagorean Theorem. If you haven't, it could still be a trap.



Oh, by the way, I worked it out using the second method and got the same answer as with the first... Math works that way if you do it right. ;-)
Reply:It will help if you draw yourself a little diagram.

A straight horizontal line indicates the water surface.

A vertical line originating at O rises to cut the water level at

P and continues vertically upward for one foot, to the flowerhead, F.

Mark point E on surface of water, 3 feet from P



What is the depth of pond?

Solve by finding length of OP.



In Pythagoras' Theorem, the square of the hypotenuse of a right angles triangle is equal to the sum of the squares of the other two sides.



Can you recognise your rightangled triangle? OPE.

OE is the hypotenuse,



You can handle it from there N.B. You can form another triangle, too, EFP.