Wireless communication has become a global standard for various commodity devices. This change has created a new opportunity to extend the research toward occupancy detection, perimeter security, elderly monitoring, localization, etc. Device-free localization (DFL) is considered the most exciting research problem, where the target location is inferred from the target-induced shadowed links within the wireless network. The geometric scheme is computationally inexpensive and accurate among existing schemes in the literature. However, the accuracy of the geometric schemes mainly relies on the dense wireless networks. This paper proposes a geometric approach that utilizes the angle and distance parameters for localization. Unlike other geometric schemes, the proposed scheme identifies the target even in sparsely deployed environments. The proposed scheme estimates the distances by mapping the received signal strength (RSS) across the shadowed links. The estimated distances across the heavily shadowed link estimate the target distance. Similarly, the distance across the shadowed link estimates the target angle. To evaluate the performance of the proposed scheme, we have considered various performance metrics, such as the varying size of the deployment area, the varying number of reference nodes, and the varying mapping range. The results show that the proposed scheme improved the localization accuracy compared to comparable schemes.