  We analyze the prospects of reconstructing the mass of a heavy charged Higgs
boson %have been analyzed in the context of a Type X two-Higgs doublet model
where a light pseudoscalar $A$ in the mass range $40-60$ GeV is
phenomenologically allowed, and is in fact favoured if one wants to explain the
muon anomalous magnetic moment. The associated production of charged Higgs with
the pseudoscalar $A$ and subsequent decay of the charged Higgs into a $W$ and
$A$, is found to be our relevant channel. The branching ratio for $H^+ \to W^+
A$ with $M_{H^+} \sim 200$ GeV, is close to 50\%. The hadronic decay of the $W$
boson, coupled with the leptonic decays of $A$ into a tau and muon pair, help
in identifying the charged Higgs. The neutral heavy Higgs, being degenerate
with the charged Higgs for most of the allowed parameter space of the model,
also contributes to similar final states. Thus both of these particles are
reconstructed within a band of about 10 GeV.
