The passengers were afraid but the captain . . . . . . . them that there was no danger.

instructed
advised
promised
assured

The correct answer is D. assured.

To assure someone means to make them feel confident that something is true or will happen. In this case, the captain is trying to make the passengers feel confident that there is no danger.

The other options are not as accurate. To instruct someone means to give them orders or directions. To advise someone means to give them advice or suggestions. To promise someone something means to make a commitment to do something for them.

In this case, the captain is not giving orders, advice, or a promise. He is simply trying to assure the passengers that there is no danger.