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6. A road runs 1,200 feet from X to Y and then makes a right angle to Z, a distance of 500 ft. A new road is being built to connect X and Z. How much shorter wilt the new road be?
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3 votes
6. A road runs 1,200 feet from X to Y and then makes a right angle to Z, a distance of 500

ft. A new road is being built to connect X and Z. How much shorter wilt the new road
be?

User Frederik
by
3.5k points

1 Answer

4 votes

Answer:

  • 400 ft

Explanation:

Use the Pythagorean to find the distance XZ:


  • XZ=√(XY^2+YZ^2) =√(1200^2+500^2) =√(1690000) =1300

The difference of the distance is:

  • 1200 + 500 - 1300 = 400 ft
User Talor Abramovich
by
3.8k points
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