/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/ is in libgcc-4.8-dev-armhf-cross 4.8.5-4ubuntu1cross2.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include-fixed/README
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include-fixed/limits.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include-fixed/syslimits.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/arm_neon.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/backtrace-supported.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/backtrace.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/float.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/iso646.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/mmintrin.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/omp.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdalign.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdarg.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdbool.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stddef.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdfix.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdint-gcc.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdint.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/stdnoreturn.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/unwind-arm-common.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/unwind.h
/usr/lib/gcc-cross/arm-linux-gnueabihf/4.8/include/varargs.h