Answer:
Distance between Alice and Amy is 117 feet.
Step-by-step explanation:
As shown in the figure attached, Amy spots Alice at the corner of the party hall diagonally opposite her.
If the party hall is in a rectangle shape. Measure of the hall sides are 100 feet by 60 feet.
We know shortest distance from one corner to the other corner is a diagonal.
Therefore, shortest distance between Amy and Alice will be = length of the diagonal = [tex]\sqrt{100^{2}+60^{2}}[/tex]
= [tex]\sqrt{10000+3600}[/tex]
= [tex]\sqrt{13600}[/tex]
= 116.62
≈ 117 feet
Therefore, Alice and Amy are 117 feet apart.
