Question

what compass heading represents 15° north of east?
?°
hint: compass headings are measured from north, going clockwise.

Explanation:

Step1: Understand Compass Heading

Compass headings are measured clockwise from north. East is 90° clockwise from north (since north to east is a right angle, 90°).

Step2: Calculate 15° North of East

If we are 15° north of east, we start from north, move towards east, but 15° less than the full 90° to east. So we calculate the heading as 90° - 15° = 75°? Wait, no—wait, north to east is 90°, but "north of east" means from east towards north. Wait, no, the hint says measured from north clockwise. So north is 0°, east is 90°, south is 180°, west is 270°. So "15° north of east" means we are 15° towards north from the east direction. So from north, clockwise to east is 90°, so to be 15° north of east, we subtract 15° from 90°? Wait, no. Let's think: East is 90° from north (clockwise). If we are 15° north of east, that means our direction is 15° closer to north than east. So from north, moving clockwise, east is 90°, so 15° north of east would be 90° - 15° = 75°? Wait, no, maybe I got it reversed. Wait, "north of east" means the angle between the east direction and our direction is 15° towards north. So the heading (from north clockwise) would be 90° - 15° = 75°? Wait, no, let's draw a mental picture. North is 0°, east is 90° (clockwise). If we are 15° north of east, that means the angle between our direction and east is 15°, towards north. So from north, going clockwise, we go to east (90°), but then turn 15° towards north (which is counterclockwise from east, but clockwise from north, it's 90° - 15° = 75°). Wait, no, clockwise from north: north (0°), then east is 90°, so 15° north of east is 90° - 15° = 75°? Wait, no, maybe I have it wrong. Wait, "15° north of east" means the direction is 15° above the east axis towards north. So the heading (clockwise from north) is 90° - 15° = 75°? Wait, no, let's take an example: 0° north, 45° northeast (45° from north towards east), 90° east, 135° southeast? No, wait, no: northeast is 45° from north (clockwise), which is 45° north of east (since east is 90°, 90° - 45° = 45°). So yes, 15° north of east would be 90° - 15° = 75° from north clockwise. Wait, but let's confirm with the hint: "Compass headings are measured from north, going clockwise." So north is 0°, east is 90°, so 15° north of east: the angle between our direction and east is 15° towards north, so the heading is 90° - 15° = 75°. Wait, but maybe I made a mistake. Wait, no—if you are facing east (90°), and turn 15° towards north, your new heading (from north clockwise) is 90° - 15° = 75°. Yes, that makes sense. So the compass heading is 75°.

Answer:

75