Answer:
116.62 yards
Step-by-step explanation:
information that we have about the soccer field:
length: [tex]l=100yards[/tex]
width: [tex]w=60yards[/tex]
the line that crosses from one corner to another is the hypotenuse of a right triangle that is formed with the sides [tex]l[/tex] and [tex]w[/tex].
So if we call this distance [tex]h[/tex], by the Pythagorean theorem we will obtain that:
[tex]h^2=l^2+w^2[/tex]
solving for [tex]h[/tex]:
[tex]h=\sqrt{l^2+w^2}[/tex]
substituting the known values:
[tex]h=\sqrt{100^2+60^2} \\h=\sqrt{10,000+3,600}\\ h=\sqrt{13,600}\\ h=116.62yards[/tex]
the approximate distance from one corner to the opposite corner found by the Pythagorean theorem is: 116.62 yards
