Tony wants his white picket fence row to have ivy grow in certain direction. He decides to run a metal wire diagonally from the ground level at one end to the top of the other side of the fence row. the section of the fence in the front of his house is 10 feet long and has a height of 27 inches. Determine the length of the wire?

Question

Rhys Hardy

Mathematics

2 August, 06:53

Tony wants his white picket fence row to have ivy grow in certain direction. He decides to run a metal wire diagonally from the ground level at one end to the top of the other side of the fence row. the section of the fence in the front of his house is 10 feet long and has a height of 27 inches. Determine the length of the wire?

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Answers (1)

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Jada Peck · Answer 1

I feet = 12 inches, therefore the length is 120 inches, the height is 27 inches.

From the pythagoras theorem a² + b² = c ²where a and b are the shorter sides and c is the hypotenuse.

Therefore, the diagonal = √ (120² + 27²)

= √ (1440 + 729)

= √ 15129

= 123 inches