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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

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opudodennis

Answer:

S=2.693m

Explanation:

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

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

[tex]OP=S=\sqrt{{(x_1-x_0)^2+(y_1+y_0)^2}[/tex]

#Substitute the coordinate values in the above equation:

[tex]S=\sqrt{{(2.6m-0m)^2+(0.7m-0m)^2}}\\=\sqrt{7.25}\\=2.693m[/tex]

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

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