Question

A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?

Answer 1

`A' =(-y,x)`

Explanation:

Given

Represent point A as thus;

`A = (x,y)`

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

`Pos = (y,x)`

Then, y is negated to give A'

`A' =(-y,x)`