The current research aims to examine the impact of a tangent hyperbolic fluid flow confined by a stretching sheet with the existence of variable thermal conductivity, mixed convection, and magneto hydrodynamics. A mathematical model is developed in the form of partial differential equations (PDEs) and then converted into ordinary differential equations by using self-felicitous transformations. The technique of BVP4C (MATLAB package) has been used to simplify these ordinary differential equations. The numerical solution of skin friction, mixed convection, Nusselt number, and velocity and temperature profiles for different values of the involved parameters is indicated through tables and graphs. It can be noticed that the velocity profile decreases when the Hartmann number increases. The effect of Weissenberg number, inclined angle, and power law index for velocity profiles is also identical to the Hartmann number. The temperature profile decays due to an increment in the Prandtl number. Skin friction and the Nusselt number have also been explained. The physical reasoning for growth or decay of these parameters has been discussed in detail.