IP fast reroute methods are used to recover packets in the data plane upon link failures. Previous work provided methods that guarantee failure recovery from at most two-link failures. We develop an IP fast reroute method that employs rooted arc-disjoint spanning trees to guarantee recovery from up to $(k-1)$ link failures in a $k$ -edge-connected network. As arc-disjoint spanning trees may be constructed in sub-quadratic time in the size of the network, our approach offers excellent scalability. Through experimental results, we show that employing arc-disjoint spanning trees to recover from multiple failures reduces path stretch in comparison with previously known techniques.