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 (2.6, 0.7), where the units are meters, what is the distance of the fly from the corner of the room

Answer 1

Answer:

S=2.693m

Explanation:

Let point $O$ be the origin of the room and the fly is crawling at point $P$ as shown in the attached photo:

#Distance of the fly from the corner of the room is defined as:

$OP=S=\sqrt{{(x_1-x_0)^2+(y_1+y_0)^2}$

#Substitute the coordinate values in the above equation:

$S=\sqrt{{(2.6m-0m)^2+(0.7m-0m)^2}}\\=\sqrt{7.25}\\=2.693m$

Hence, the distance of the fly from the corner of the room is 2.693m