A tree is supported by a wire anchored in the ground 5 feet from its base. The wire is 1 foot longer than the height that it reaches in the tree. Find the length of the wire?
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The length of the wire is 13 feet.
Step-by-step explanation:
Let say Length of Wire = L ft
The wire is 1 foot longer than the height that it reaches on the tree
Height of tree it reaches = L - 1 ft
Perpendicular Height = L - 1 ft
wire anchored in the ground 5 feet from its base.
Base = 5 ft
Hypostenuse² = Base² + Length²
L² = 5² + (L - 1)²
L² = 25 + L² + 1 - 2L
2L = 26
L = 13
The Length of the wire = 13 feet