Question

Alice the alien is visiting planet Earth to acquire a cow specimen for her terrestrial research. She has landed her ship in a pasture. The ship's sensors are giving the coordinates of the surrounding cows in meters (detailed below). The ship is located at the origin of the coordinate system.Cow A is at point (6,8) Cow B is at point (-4,9) Cow C is at point (7,7)

if she wants to choose the cow closest to her, which cow should she choose?

Answer 1

This is how to do it.

Use the distance formula for points to find the distance from the origin to points A, B, and C. The shortest distance is the answer you are searching for. Try it!

Answer 2

Position of Ship =O(0,0)

Position of 4 cows=A(6,8), B(-4,9), and C(7,7).

We will find distance between Point O and Position of four cows using distance formula.

`=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}\\\\x_(1)=0,y_(1)=0\\\\OA=√(6^2+8^2)\\\\=√(36+64)\\\\=√(100)\\\\=10\\\\OB=√((-4)^2+(9)^2)\\\\OB=√(16+81)\\\\OB=√(97)\\\\=9.848\\\\OC=√((7)^2+(7)^2)\\\\OC=√(49+49)\\\\OC=√(98)\\\\OC=7√(2)\\\\OC=9.898`

Cow B is closest to The Ship as distance is minimum from three ships.