Acertain 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 (1.9, 1.2), where the units are meters, what is the distance of the fly from the corner of the room?

The distance of the fly from the corner of the room is 2.2 m

Explanation:

Hi there!

Please, see the attached figure for a better understanding of the problem. In red is depicted the distance of the fly from the corner of the room. Notice that this distance is the hypotenuse of the triangle formed with the horizontal distance (blue) and the vertical distance (green) (see figure). Knowing the value of two sides, we can calculate the hypotenuse:

(distance)² = (1.9 m)² + (1.2 m)²

(distance)² = 5.05 m²

distance = 2.2 m

The distance of the fly from the corner of the room is 2.2 m.

Have a nice day!

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