Question

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?

Answer 1

Answer: 3.55 meter

Explanation:

Distance between two points (a,b) and (c,d) is given by :-

`d=√((d-b)^2+(c-a)^2)`

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 :-

`d=√((1.3-0)^2+(3.3-0)^2)\\\\=√(1.69+10.89)\\\\=√(12.58)=3.54682957019\approx3.55\text{ meter}`

Hence, the distance of the fly from the corner of the room = 3.55 meter