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 (2.3, 1.2), where the units are meters, what is the distance of the fly from the corner of the room?

Answer 1

2.59 m

Step-by-step explanation:

Coordinates of origin = (0, 0)

Coordinates of Point p where the fly reach = (2.3 m, 1.2 m)

Use the distance formula of coordinates to find the distance between the origin and the point P.

`d=\sqrt{\left ( x_(2)-x_(1) \right )^(2)+\left ( y_(2)-y_(1) \right )^(2)}`

`d=\sqrt{\left ( 2.3- 0 \right )^(2)+\left ( 1.2-0 \right )^(2)}`

d = 2.59 m

Thus, the distance between the origin and the point P is 2.59 m.