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

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=√(24)\\\Rightarrow y=4.89\approx 4.9\ ft`