Barbados A cruise ship maintains a speed of 5 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 39° off a direct heading to Barbados. The captain maintains the 5-knot speed for 13 hours, after which time the path to Barbados becomes clear of storms. (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 5-knot speed is maintained? 39 San Juan (a) The captain should head through an angle of . (Do not round until the final answer. Then round to one decimal place as needed.)

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 36PS
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Barbados
A cruise ship maintains a speed of 5 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 39° off a direct heading to Barbados. The captain maintains the 5-knot speed for 13 hours, after which time the path to Barbados becomes clear of storms.
(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 5-knot speed is maintained?
39°
San Juan
...
(a) The captain should head through an angle of °.
(Do not round until the final answer. Then round to one decimal place as needed.)
Transcribed Image Text:Barbados A cruise ship maintains a speed of 5 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 39° off a direct heading to Barbados. The captain maintains the 5-knot speed for 13 hours, after which time the path to Barbados becomes clear of storms. (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 5-knot speed is maintained? 39° San Juan ... (a) The captain should head through an angle of °. (Do not round until the final answer. Then round to one decimal place as needed.)
Solve the following triangle using either the Law of Sines or the Law of Cosines.
A = 28°, a = 2, b = 4
...
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)
O A. There is only one possible solution for the triangle.
The measurements for the remaining angles B and C and side c are as follows.
В
B. There are two possible solutions for the triangle.
The triangle with the smaller angle B has
B, x
The triangle with the larger angle B has
C2 2
O C. There are no possible solutions for this triangle.
Transcribed Image Text:Solve the following triangle using either the Law of Sines or the Law of Cosines. A = 28°, a = 2, b = 4 ... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. There is only one possible solution for the triangle. The measurements for the remaining angles B and C and side c are as follows. В B. There are two possible solutions for the triangle. The triangle with the smaller angle B has B, x The triangle with the larger angle B has C2 2 O C. There are no possible solutions for this triangle.
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