Calculation example - Find the rate of full dip of a plane or seam, given its direction and the rate and direction of an apparent dip

Given the direction of full dip and the rate and direction of an apparent dip of a plane or seam, find the rate of full dip.

Known values:

Full dip direction = α

Apparent dip direction = β

Apparent dip rate = 1 in y (AC = y)

Solution:

Full dip rate = 1 in x (AB = x)

In triangle ABC:

i.e.

i.e.

cot full dip (1 in x) = cot apparent dip (1 in y) X cosine angle between full dip and apparent dip (β-α)