Question 1121379
A, station A
B, station B
S, ship


length AB, 72 kilometers
angle at A, 36 degree
angle at B, 59 degree
angle at S, 85 degree.


Law of Sines will give lengths AS and SB.
{{{highlight(AS=61.9518)}}}
and
{{{highlight(SB=42.4496)}}}



altitude from S to AB forms two right triangle, sharing this altitude.

Length from S to line AB
{{{61.9518*cos(54)}}}
or
{{{42.4496*cos(31)}}}
.
.