This paper proposes the height-dependent channel correlation coefficient and leverages it to produce a hybrid correlated channel. The efficacy of the drone-assisted cooperation (DAC) system has been assessed using the hybrid correlated channel coefficient, and the findings are contrasted with those obtained using the uncorrelated hybrid channel coefficient. Maximal ratio combining (MRC), a diversity combining technique, is employed at the destination node. Amplify-and-forward (AF) and decode-and-forward (DF) are utilized at the relay node (drone) to assess the overall performance of the DAC system in the proposed scenario. The paper introduces two algorithms designed to calculate the capacity and outage probability for DAC systems within a correlated hybrid channel environment. Finally, the effectiveness of the proposed model has been depicted in the simulation results. The proposal might prove helpful in a dire situation where the base station faces disruptions.