Question

A fly lands on one wall of a room. The lower left-hand
corner of the wall is selected as the origin of a twodimensional
cartesian coordinate system. If the fly is located
at the point having coordinates (2.00, 1.00) m,
(a) how far is it from the corner of the room? (b) what
is its location in polar coordinates?

Answer 1

Do you have any idea?

Answer 2

can u draw the imaginary diagram

Answer 3

ye i have the idea of 3d here

Answer 4

Nopope the diagram is in 3d how to draw it in 2d ?

Answer 5

This is just a 2D problem. You piece of paper is the wall.
If you are 2 units to the right and 1 unit up from any origin, the distance is really easy to measure or work out.

Answer 6

Are you ok now? or do you need more help?

Answer 7

Ok, I got the answer after your guidance

Answer 8

Thank you sir

Answer 9

yw :)

do you also have the polar coords?

Answer 10

No

Answer 11

Have you drawn this?


θ is not hard to find since you know both sides of the triangle.

Answer 12

ok

Answer 13

Remember conversions go:

From car to pol:
\(r=\sqrt{x^2+y^2}\)
\(\theta=\arctan (y/x)\)

From pol to car:
\(x=r\,\cos\theta\)
\(y=r\,\sin\theta\)