Question

The measure of the acute angle between the line passing through (0,2) , (-2,0) and the line whose equation is Y=0 equals

Answer 1

slope of the line, m:


`m= (rise)/(run) = (2-0)/(0-(-2)) = (2)/(2) =1`

Angle with the horizontal line (y =0)

tan (angle) = 1

angle = arctan(1) = 45°.

That is the angle requested: 45°