Question

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?

Answer 1

Answer: 4.9 ft

Step-by-step explanation:

Given

Length of wire $l=7\ ft$

Stake is at a distance of $5\ ft$ from the base of tree

suppose wire is attached y ft  above the base of tree

from the figure, we can write

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