Answer:
3 miles
Explanation:
The distance between Arati and Ava can be calculated using the Law of Cosines. Let's call the distance between Arati and Ava as "d". We know that:
a = 2 (distance skied by Arati)
b = 3 (distance skied by Ava ) c = d (distance between Arati and Ava) A = 45 (angle between a and b)
Plugging these values into the Law of Cosines formula:
d^2 = 2^2 + 3^2 - 2 * 2 * 3 * cos(45)
d^2 = 4 + 9 - 12 * (√2 / 2)
d^2 = 13 - 12 * √2
d = √(13 - 12 * √2)
To the nearest mile, the distance between Arati and Ava is approximately 3 miles.