Standing at rest in the Earth reference frame, you observe two events, also at rest in that reference frame, occurring at these coordinates: event 1: \(x_{1}=10 \mathrm{~km}, y_{1}=5.0 \mathrm{~km}\), \(z_{1}=0, t_{1}=20 \mu \mathrm{s} ;\) event \(2: x_{2}=30 \mathrm{~km}, y_{2}=5.0 \mathrm{~km}\), \(z_{2}=0, t_{2}=30 \mu \mathrm{s}\). At what speed and in what direction must your friend travel relative to Earth so as to observe these events as being simultaneous?