How to find the B(x2, y2) poin on a chart knowing the angle, the segment length and point A(x1, y1)

28 Views Asked by At

How I find the B(x2, y2) in the below chart? I want to draw the Fibonacci Fan lines from point A, knowing the x1 and y1, to point B. The line can be a segment with a length of 200 or a ray line. After the first line, I would like to draw several other lines at different angles from point A(x1, y1) at 38.2°, 50°, and so on. Any help is appreciated, thank you.

chart B(X2, y2)

1

There are 1 best solutions below

2
On BEST ANSWER

A consistent convention for bearing angle should be adopted.

With respect to North or East. The latter is used here. From x-axis positive CCW.

$$ x2= x1+ 200 \cos 315^{\circ}$$ $$ y2= y1+ 200 \sin 315 ^{\circ}$$