Estimated position over three legs with leeway

Exercise book 4.7 · on paper you need RYA chart 3, the tidal almanac, the deviation card

On Tuesday 26 February at 1200 (time zone −0100) you are at 45°40.83'N 005°45.47'W with the log at 0.0. You steer 055°C until 1230 (log 2.9), then 135°C until 1300 (log 5.9), then 055°C again until 1330 (log 8.6). Easterly force 4, leeway 5°. Variation 6°W. Use tidal diamond Q. Where are you at 1330, and what COG and SOG have you made good?

Starting position: 45°40.83'N 005°45.47'W
Log: 0.0 at 1200, 2.9 at 1230, 5.9 at 1300, 8.6 at 1330
Compass courses: 055°C, 135°C, 055°C
Variation: 6°W
Leeway: 5°, wind E4
Victoria 26 Feb (UT): HW 0930 5.5 m; LW 0316 1.0 m, 1545 0.6 m
Diamond Q, HW+2: 163° 1.6 kn springs / 0.8 kn neaps
Diamond Q, HW+3: 014° 1.4 kn springs / 0.7 kn neaps

Solution worked out by us from the course material: to be checked by the instructor.