A true heading is 090 degrees, with 5 degrees east variation and 2 degrees east deviation. Following the stated east-is-least convention at each step, what compass heading results?

### Why this is right First subtract 5 degrees east variation from 090 degrees to obtain 085 degrees magnetic. Then subtract 2 degrees east deviation to obtain 083 degrees compass. ### The concept The conversion must follow the reference sequence. Variation changes true direction to magnetic direction; deviation then changes magnetic direction to compass direction. Apply each correction to the value reached at the previous step, using the east-west convention specified in the question. ### The other options - **087 degrees**: This applies the variation but adds east deviation instead of subtracting it. - **097 degrees**: This adds both easterly corrections rather than subtracting them. - **093 degrees**: This subtracts variation but adds deviation, reversing the stated deviation convention. ### Worked numbers - **Given**: true heading 090 degrees; east variation 5 degrees; east deviation 2 degrees. - **Find**: compass heading in degrees. - **Formula**: true to magnetic: subtract east variation; magnetic to compass: subtract east deviation under the stated convention. - **Solve**: 090 − 5 = 085 degrees magnetic. Then 085 − 2 = 083 degrees compass. - **Answer**: 083 degrees compass. - **Check**: both easterly corrections are subtracted, so the result is below 090 degrees. ### Terms - **Compass heading**: The aircraft heading indicated relative to compass north. - **Deviation**: The difference between magnetic north and compass north. ### Remember Apply one correction at a time in the sequence true, magnetic, compass.