Question

A rabbit will move no more than 10 miles away from its hole. At that time, you are taking a walk about 6 miles west and 7 miles south of the rabbit hole. Is there any possibility of you meeting the rabbit?

Answer 1

Yes, there is a possibility of you meeting the rabbit

In order for you to meet the rabbit, your distance from the rabbit hole must be less than or equal to 10 miles. The distance between you and the rabbit hole is calculated using the Pythagorean theorem because you've moved both west and south, forming a right-angled triangle.

The Pythagorean theorem is given by:

c =
`\sqrt{a^(2)+b^(2) }` , where c is the hypotenuse (distance from the rabbit hole), a is the distance moved west, and b is the distance moved south.

In this case:

c =
`\sqrt{6^(2)+7^(2) }` =
`√(87)` = 9.22

Therefore, your distance from the rabbit hole is less than 10 miles (the rabbit's maximum distance). So, there is a possibility of you meeting the rabbit if it hasn't moved too far from its hole.