Step 1: Understanding the question.
The question asks for the net slip on a fault based on the given pitch and horizontal slip values.
Step 2: Analyzing the solution.
The formula for net slip on a fault is given by:
\[
\text{Net Slip} = \text{Horizontal Slip} \times \sin(\text{Pitch})
\]
Substitute the values:
\[
\text{Net Slip} = 1.25 \times \sin(30^\circ) = 1.25 \times 0.5 = 0.64 \, \text{m}
\]
Step 3: Conclusion.
The correct answer is 0.64 m, which is the net slip on the fault.