Pre-Calculus, 9th edition
45

 PAGE: 533 SET: Exercises PROBLEM: 45

A cruise ship maintains an average speed of in going from San Juan to Barbados, West Indies, a distance of .

To avoid a tropical storm, the captain heads out of  San Juan in a direction of  off a direct heading to Barbados.

The captain maintains the speed  for , after which time the path to Barbados becomes clear of storms.

Observe the diagram :

(a)

The total distance travelled is .

The total distance remaining is .

Substiute and .

Find the angle towards barbados :

The angle towards barbados is .

Therefore, the captain should turn at directly to barbados.

(b)

The total distance to travel to raech barbados is .

If the captain maintains the for the ramaining distance, then the time taken is :

(a)

The captain should turn at directly to barbados.

(b)

If the captain maintains the for the ramaining distance, then the time taken to reach barbados is .

TESTIMONIALS
 "I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett "Your site is amazing! It helped me get through Algebra." Charles "My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease
 Tweets by @mathskeydotcom

QUESTIONS? LET US HELP.