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 (2.1, 1.9), where the units are meters, what is the distance of the fly from the corner of the room?

Answer 1

Answer: 2.83 units

Explanation:

The distance between the two points (a,b) and (c,d) on the coordinate system 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.

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 :-

`D=√((2.1-0)^2+(1.9-0)^2)\\\\\Rightarrow\ D=√(4.41+3.61)\\\\\Rightarrow\ D=√(8.02)\\\\\Rightarrow\ D=2.8319604517\approx2.83\text{ units}`

Hence, the distance of the fly from the corner of the room = 2.83 units.