Question

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?

Answer 1

• 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