Step 1: Understanding the Concept
In a Newman projection of ethane, the three C-H bonds on each carbon are \(120^{\circ}\) apart.
Step 2: Staggered form
Each front C-H bond lies midway between two rear C-H bonds, so the angle between nearest bonds is \(60^{\circ}\).
Step 3: Conclusion
The eclipsed form has a dihedral angle of \(0^{\circ}\), so staggered has \(60^{\circ}\).
Final Answer:
The dihedral angle in staggered ethane is \(60^{\circ}\).
\[ \boxed{\text{(B) }60^{\circ}} \]