Question

A point P is located in a two dimensional cartesian coordinate system at x = 4.3 cm & y = 3.6 cm. Calculate the angle in degrees between the x-axis and the line from the origin of the coordinate system to the point P.

Answer 1

Answer:

39.94 degrees

Step-by-step explanation:

P is located at (4.3, 3.6) on the cartesian coordinate system.

To determine the angle in degrees between the x-axis and the line from the origin of the coordinate system to the point P, we use tangent.

$\tan \theta = \dfrac{y}{x} \\\\ \theta = \arctan \dfrac{y}{x}\\ \theta = \arctan \dfrac{3.6}{4.3}\\\\ \theta =39.94^\circ$

The angle in degrees between the x-axis and the line from the origin of the coordinate system to the point P is 39.94 degrees (correct to 2 decimal places).