A D sin D A E
D E = ———————
sin A E D

or log D E = log A D + L sin D A E-L sin A E D.

From station F, E and G are visible, but the landmark D cannot be seen; therefore, as the latter can be seen from G, it will be necessary to fix the position of G first. Then,

sin E G D: D E :: sin E D G : E G,

D E sin E D G
or EG= ———————-
sin E G D

Now, sin E F G: E G :: sin F E G : F G

E G sin F E G
F G = ——————-
sin E F G

thus allowing the position of F to be fixed, and then

sin F H G : F G :: sin F G H : F H

F G sin F G H
F H= ——————-
sin F H G