But how do we figure it to accurately give equal weight to the
entire line? We do it by applying basic trigonometry, finding the
tangent of the angle for the known right triangle and applying it
to the smaller triangle. The tangent of theta, the bearing angle,
equals O. The opposite side divided by A, the adjacent side. In
this case, the tangent equals 0.59 divided by 79.30, or a tangent
of 0.00744.
Now, multiply the proportionate latitude, P1 by the tangent and
you will get the proportionate departure, D . . .
. . . which is the proportionate position of the one-quarter section
corner. In this case, 0.30 chains East but we're still not done.