Step 1: Understanding Throw and Heave.
Throw refers to the vertical displacement on the fault, while heave refers to the horizontal displacement. These values are related to the dip angle (\(\delta\)) of the fault plane. The relationship between the throw (T), heave (H), and dip (\(\delta\)) is given by the formula:
\[
\tan(\delta) = \frac{\text{Throw}}{\text{Heave}}.
\]
Step 2: Calculation of Dip Angle.
Substituting the values for throw (100 m) and heave (200 m):
\[
\tan(\delta) = \frac{100}{200} = 0.5.
\]
Now, calculate the dip angle:
\[
\delta = \tan^{-1}(0.5) = 63.4^\circ.
\]
Step 3: Conclusion.
The dip of the fault plane is 63.4°.