##### Trigonometry Calculator

( The Util / Trigonometry Calculator Program )

This RockWorks Geological Utilities tool is used to perform various trigonometric calculations, such as apparent dip or true dip, drilled thickness, strike and dip from 3 points, and more.

• 2-Point: This program calculates the distance between two points, the bearing from one point to another, and the inclination from one point to another.  You need to input the X (Easting), Y (Northing), and Z (Elevation) coordinates for the two data points to be used.  Press the Tab key or click into another prompt for the calculations to be performed and displayed in the red prompt boxes.
• ! All points must be in the same units. For example, this program will not produce a correct answer if the Eastings and Northings are in UTM meters while the elevations are in feet.
• 3-Point: The 3-Point program calculates the strike azimuth and dip angle of a plane given three points along a plane. You need to input the X (Easting), Y (Northing), and Z (Elevation) coordinates for the three data points to be used.
• ! All points must be in the same units. For example, this program will not produce a correct answer if the Eastings and Northings are in UTM meters while the elevations are in feet.

• Apparent Dip: The Apparent Dip calculator computes the apparent dip angle of a plane given the true dip angle, the true dip angle direction, and the apparent dip angle direction. This program is useful for applications such as cross-section construction in which the orientation of the cross-section is not necessarily equal to the dip direction.
• To compute the apparent dip angle (displayed in the red prompt box), input values for true dip angle, true dip direction, and apparent dip direction in the prompt boxes, and press the <Tab> key to perform calculation.

• Drilled Thickness: The Drilled-Thickness program calculates any of the following fields, given any of the other three: The dip angle (in degrees) of a dipping bed, the depth to the top of the bed, the depth to the base of the bed, and the true thickness of the bed.
• To compute any of these fields, enter three of the four values required in the prompt boxes. Press the "=" button on any prompt to calculate its value based on the other variables.

• Exaggeration: The Vertical Exaggeration calculator is used to calculate the vertical exaggeration factor and exaggerated dip (apparent dip) angles when constructing cross-sections.
• Input values for the horizontal scale, vertical scale, and true dip in the prompt boxes and press the <Tab> key to perform the calculation.

• Height: The Height Estimator program is used to calculate the height of an object based on the distance from the object and the angle between the viewer and the object.
• Input values for the angle relative to horizontal, the instrument height, and the distance from the base of the object to the instrument, and then press the <Tab> key to perform the calculation.

• Map Thickness (from distance): This Map Thickness program calculates the true thickness of a geologic unit based on the strike and dip of the formation and the upper and lower contacts.
• Input values for the elevations of two points, the bearing from Point #1 to Point #2, the distance between Point #1 and Point #2, the dip direction, and dip angle. To perform the calculation, place the cursor in one of the other prompt boxes (or simply press the <Tab> key) and all current values will be reflected in the new calculation.
• ! The dip-direction and dip angle must be entered in degrees.
• Map Thickness (from xyz): This Map Thickness program calculates the true thickness of a geologic unit based on the strike and dip of the formation and the upper and lower contacts.
• Input values for the Easting (X), Northing (Y), and Elevation (Z) for Points #1 and #2, the dip direction, and the dip angle. Press the <Tab> key (or click in another prompt with the mouse) to perform the calculation.
• ! The dip direction and dip angle must be entered in degrees.
• Polar -> XYZ:  This tool computes the XYZ coordinates of an object, given the XYZ coordinates of a reference object and the bearing, inclination, and distance to the object.
• Input values for the Easting (X), Northing (Y), and Elevation (Z) for the reference object, and the bearing (0 to 360 decimal degrees), inclination (in degrees) from horizontal, and the ground distance between the objects.  Press the Tab key or click outside the input prompts to cause the X,Y,Z coordinates for the object (red prompt fields) to be computed.
• ! Be sure the X, Y, elevation, and distance units are all the same, such as feet or meters.
• True Dip: The True Dip calculator computes the true dip angle and dip direction based on two apparent dip amounts and apparent dip directions. An example application would involve a road cut in which an apparent dip is visible on each side of the road cut. The apparent dip direction is defined by the orientation of the road cut.
• Input values for the apparent dip and apparent dip direction for two points. To perform the calculation, place the cursor in one of the other prompt boxes and all current values will be reflected in the new calculation. Changing any value and moving the cursor to a new prompt box will result in a new calculation.

How-To Summary

• Access the Geological Utilities datasheet so that the Util menu is visible.
• Select the Util / Trigonometry Calculator menu command.
• Click on the tab for the computation you wish to perform.
• Type the known measurements into the appropriate prompt boxes, as described above.
• In those program tabs with red-colored prompt boxes, you type information into the white prompt fields only; the program will display computations in the red boxes.
• In those tabs without red boxes, you may enter known information into any of the prompts.
• Use the mouse or the <Tab> key to advance to another prompt, and the program will compute the results based on the current input measurements.
• Click the Exit button at the bottom of the window to close the Trigonometry Calculator window.