Trusting in God or using your Brain?

I was surprised by this passage in Ezra:

²¹ There, by the Ahava Canal, I proclaimed a fast, so that we might humble ourselves before our God and ask him for a safe journey for us and our children, with all our possessions. ²² I was ashamed to ask the king for soldiers and horsemen to protect us from enemies on the road, because we had told the king, “The gracious hand of our God is on everyone who looks to him, but his great anger is against all who forsake him.” ²³ So we fasted and petitioned our God about this, and he answered our prayer.

Does trusting in God rule out safety precautions? Only if it is at the cost of compromising your testimony?