I calculated the final point (17.4, -3.2) and drew a line from the origin (0,0) to this point, creating a triangle with the x and y segments. Using Pythagorean theorem I calculated the magnitude of this vector 17.7
I then used inverse tangent to find the angle -10°
That wouldn't make sense, as the angle from initial to final points would be from the top of the red line on the y-axis to the final spot, not from the origin.
https://gyazo.com/efc009de2080feedea420d6b2a5edab4
Triangle on the right shows how I calculated -10° angle by using tan-1(-3.2/17.4), -3.2 being the change in y and 17.4 change in x after I added the vectors.
I calculated the angle as -10°, but since the question asked for the angle counter-clockwise from the x axis, I thought it would be correctly expressed as 350.
https://gyazo.com/efc009de2080feedea420d6b2a5edab4
Triangle on the right shows how I calculated -10° angle by using tan-1(-3.2/17.4), -3.2 being the change in y and 17.4 change in x after I added the vectors.
Homework Statement
In photo:
https://gyazo.com/6348b5ffe368852ee9868a2ba0dd7e38
Homework Equations
In image
The Attempt at a Solution
In the boxes
Where did I go wrong with the angle calculation?
Thanks