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You have just planted a new tree. To support the tree, you attach a wire from the trunk of th tree to a stake in the ground. Each wire has a length of 7 feet. Suppose you put the stakes in the ground 5 feet from the base of the trunk. Approximately how far up the trunk should you attach the wires?

Respuesta :

Answer: 4.9 ft

Step-by-step explanation:

Given

Length of wire [tex]l=7\ ft[/tex]

Stake is at a distance of [tex]5\ ft[/tex] from the base of tree

suppose wire is attached y ft  above the base of tree

from the figure, we can write

[tex]\Rightarrow 7^2=5^2+y^2\\\Rightarrow y^2=49-25\\\Rightarrow y=\sqrt{24}\\\Rightarrow y=4.89\approx 4.9\ ft[/tex]

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