Answer
To calculate the total offset on the Teton Fault, we can use the horizontal displacement and the dip of the fault. Given that the Teton Fault dips to the east at an angle of 60 degrees, we can consider the vertical displacement as the difference in elevation between the Flathead Sandstone on either side of the fault.
The vertical displacement is 7 kilometers (the difference in elevation of the Flathead Sandstone layers) and the dip of the fault is 60 degrees. To calculate the horizontal displacement, we can use trigonometry.
Horizontal Displacement = Vertical Displacement / Tan(dip angle)
Horizontal Displacement = 7 km / Tan(60 degrees)
Using a calculator, the tangent of 60 degrees is approximately 1.732.
Horizontal Displacement ≈ 7 km / 1.732 ≈ 4.04 km
So, the total offset on the Teton Fault is approximately 4.04 kilometers.
Work Step by Step
Refer to answer above.
