Concept:
The solar zenith angle is the angle between the vertical direction and the Sun's rays.
It is complementary to the solar elevation angle.
Step 1: Use the relation.
\[
\boxed{
\text{Zenith Angle}
=
90^\circ-\text{Solar Elevation Angle}
}
\]
Step 2: Substitute the given value.
Given,
\[
\text{Solar Elevation}=50^\circ
\]
\[
\text{Zenith Angle}
=
90^\circ-50^\circ
=
40^\circ.
\]
Hence,
\[
\boxed{40^\circ.}
\]
Therefore, the correct option is
\[
\boxed{(B)\;40^\circ.}
\]