  Let $ \mathcal{H} $ be the class of harmonic functions $ f=h+\bar{g} $ in the
unit disk $\mathbb{D}:=\{z\in\mathbb{C} : |z|<1\}$, where $ h $ and $ g $ are
analytic in $ \mathbb{D} $. Let
  $$\mathcal{P}_{\mathcal{H}}^{0}(\alpha)=\{f=h+\overline{g} \in \mathcal{H} :
\real (h^{\prime}(z)-\alpha)>|g^{\prime}(z)|\; \mbox{with}\; 0\leq\alpha<1,\;
g^{\prime}(0)=0,\; z \in \mathbb{D}\}
  $$ be the class of close-to-convex mappings defined by Li and Ponnusamy
\cite{Injectivity section}. In this paper, we obtain the sharp Bohr-Rogosinski
radius, improved Bohr radius and refined Bohr radius for the class $
\mathcal{P}_{\mathcal{H}}^{0}(\alpha) $.
