Following on from the simplicity of my last attempt; I have another garden pond with a water-lily within it - but his time I want to know how long the stem of the water lily is.
Within the middle of the pond is a water-lily, standing at a slight angle (as shown in the diagram), the length of stem from the water to the base of the flower head is exactly 250mm. If I pull the flower towards me, when the base of the flower head sinks to the level of the pond water, I notice that the distance between the original location of the flower stem, to where I have pulled it, is exactly 600mm. Conversely when I push the flower directly away, when the base of the flower head sinks to the level of the pond water, its distance from the original location is exactly 200mm – how long is the water-lily flower stem (in total).
For clarity, below is a dimensioned diagram of the above problem (not to scale).
As ever, along with your answer – show your working.
Within the middle of the pond is a water-lily, standing at a slight angle (as shown in the diagram), the length of stem from the water to the base of the flower head is exactly 250mm. If I pull the flower towards me, when the base of the flower head sinks to the level of the pond water, I notice that the distance between the original location of the flower stem, to where I have pulled it, is exactly 600mm. Conversely when I push the flower directly away, when the base of the flower head sinks to the level of the pond water, its distance from the original location is exactly 200mm – how long is the water-lily flower stem (in total).
For clarity, below is a dimensioned diagram of the above problem (not to scale).
As ever, along with your answer – show your working.
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