Given the rate and direction of full dip of a plane or seam, find path gradients in three different directions, (a) due N, (b) N 75^o E, (c) due E.

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.

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

A vertical borehole passes through a seam with a known dip at 43^o. If the apparent thickness of the seam as shown by the borehole core is 2m, calculate: (a) the true thickness of the seam and (b) the gradient of the seam.

Calculate the coordinates of the intersection of two lines given the coordinates of four stations.

Calculate the coordinates of the intersection of two lines given their bearings from two known stations.

Calculate the inclined angle φ of a bend along a bended path.

Calculate the height of an object by measuring three angles of elevation only, from stations A, B and C on a straight level line to an inaccessible up-station D.

Calculate the coordinates of a distant point T_n, referencing measured angles and coordinates of four known points.

Calculate the height of an object from a baseline when its top and bottom is visible but not accessible from observation points. Case scenario when baseline AB on sloping ground and in line with object.