I have three data:
- coordinates $(x,y)$
- angle in degrees ($\gamma^\circ$)
- distance in meters (m)
How should I calculate in general a new position $(a_1,b_1)$?
For example, assume the following initial data:
- Initial coordinates $(a_0, b_0)=(100,100)$,
- angle = $30^\circ$,
- distance $2$ m.
What is the result (i.e. my new position $(a_1,b_1)$?
Sorry for formulation of this topic and explanation of my problem, but I really need your help.
Working in terms of vectors: assuming $\theta$ is taken from the positive real axis, then the resultant coordinates would be
$$(100, 100) + (r\sin\theta, r\cos\theta) = (100 + r\sin\theta, 100 + r\cos\theta)$$
where $r$ is said distance.