Q:

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 (3.3, 1.3), where the units are meters, what is the distance of the fly from the corner of the room?

Accepted Solution

A:
Answer: 3.55 meterStep-by-step explanation:Distance between two points (a,b) and (c,d) 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. A fly is crawling on an adjacent wall at a point having coordinates (3.3, 1.3).Then, the distance between (0,0) and (3.3, 1.3) is given by :-[tex]d=\sqrt{(1.3-0)^2+(3.3-0)^2}\\\\=\sqrt{1.69+10.89}\\\\=\sqrt{12.58}=3.54682957019\approx3.55\text{ meter}[/tex]Hence, the  distance of the fly from the corner of the room =  3.55 meter