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?

Respuesta :

Answer:

  • 400 ft

Step-by-step explanation:

Use the Pythagorean to find the distance XZ:

  • [tex]XZ=\sqrt{XY^2+YZ^2} =\sqrt{1200^2+500^2} =\sqrt{1690000} =1300[/tex]

The difference of the distance is:

  • 1200 + 500 - 1300 = 400 ft