A ship alters its heading in two successive legs:
• First leg: a turn of 47.3526∘.
• Second leg: a turn of 38∘27′15′′.
Answer the following, showing complete working and retaining appropriate accuracy at each stage.
(i) Convert the first leg’s angle to D∘M′S′′ correct to 0.1′′.
(ii) Convert the second leg’s angle to decimal degrees correct to four decimal places.
(iii) Determine the total change in heading by adding the two turns and express the result in D∘M′S′′, rounded to the nearest second.