The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
As we can see the wire, wall and base making a right angle triangle;
So applying the Pythagoras theorem:
Supposing the length of the wall is x feet
16² = 9² + x²
x²= 175
x = √175 feet
Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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