A cruise ship maintains a speed of 9 knots ​(nautical miles per​ hour) sailing from San Juan to​ Barbados, a distance of 600 nautical miles.?

nautical-miles
tropical​-storm

#1

A cruise ship maintains a speed of 9 knots ​(nautical miles per​ hour) sailing from San Juan to​ Barbados, a distance of 600 nautical miles. To avoid a tropical​ storm, the captain heads out of San Juan at a direction of 37° off a direct heading to Barbados. The captain ​(a) Through what angle should the captain turn to head directly to​ Barbados?​(b) Once the turn is​ made, how long will it be before the ship reaches Barbados if the same 9-knot speed is​ maintained?

Answer:

It is 600 nautical miles between places, 9 knots/hr
leaving at 37 degrees.
you dont say how far/long they travel until they turn back towards the destination

but, if they head straight out until turning to make a right triangle (53 degrees) then… the length from the 53 degree turn to the destination would be

600(tan53)

divide that by 9 and thats the time