A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (2.1, 1.9), where the units are meters, what is the distance of the fly from the corner of the room?
Accepted Solution
A:
Answer: 2.83 unitsStep-by-step explanation:The distance between the two points (a,b) and (c,d) on the coordinate system is given by :-[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]Given : A certain corner of a room is selected as the origin (0,0) of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (2.1, 1.9), then the distance of the fly from the corner (0,0) of the room will be :-[tex]D=\sqrt{(2.1-0)^2+(1.9-0)^2}\\\\\Rightarrow\ D=\sqrt{4.41+3.61}\\\\\Rightarrow\ D=\sqrt{8.02}\\\\\Rightarrow\ D=2.8319604517\approx2.83\text{ units}[/tex]Hence, the distance of the fly from the corner of the room = 2.83 units.