The length of the wire is 27.73 feet. By applying Pythagoras' theorem, the required value is evaluated.
The formula applied in the Pythagoras theorem is
(hyp)² = (adj)² + (opp)²
It is given that,
A wire is secured from the top of a flagpole to a stake in the ground.
The height of the flagpole is 25 feet
The distance from the base of the flagpole to the stake is 12 feet
So, by the Pythagoras theorem, we get
W² = F² + S²
⇒ W² = (25)² + (12)²
⇒ W² = 625 + 144
⇒ W² = 769
∴ W = √769 = 27.73 feet
Thus, the length of the wire is 27.73 feet.
Learn more about the Pythagoras theorem at the following link:
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