A five-pointed star with C as its top vertex is rotated so that the true bearing of side ab is N 45 degrees 30' E.

Question

A five-pointed star with C as its top vertex is rotated so that the true bearing of side ab is N 45 degrees 30' E. Assuming that the corners are labeled in a clockwise direction, determine the forward bearing, backward bearing, azimuth (from the north), and azimuth (from the south) of all sides.

please draw a diagram it's all I needed since I know how to compute what is missing. I'm having a hard time drawing the diagram, with the angles and which part in the cartesian plane can we find the vertexes or the points.

Answer 1

To draw the diagram, start by drawing a North–South and East–West reference axis with North pointing upward. Draw a circle centered at the intersection of the axes. Place vertex C at the top of the circle and label the remaining vertices clockwise as D, E, A, and B. Connect the vertices to form a regular five-pointed star (pentagram).

Next, use the given bearing of side AB, which is N 45°30′ E, as the reference. Rotate the entire star until side AB is oriented 45°30′ east of the North direction. The labels remain attached to their respective vertices during the rotation. Once the star has been rotated into the correct position, you can determine the forward bearings, backward bearings, and azimuths of the remaining sides by measuring each side relative to the North direction.

The key idea is that the entire figure is rotated—not just side AB. The vertex labels stay in the same clockwise order (C, D, E, A, B); only the orientation of the star changes.