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anonymous
 one year ago
A cruise ship maintains an average speed of 15 knots in going from San Juan, Puerto Rico, to Barbados, West Indies, a distance of 600 nautical miles. To avoid tropical storm, the captain heads out of San Juan in a direction of 20 degrees off a direct heading to Barbados. The captain maintains the 15 knot speed for 10 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 15 knot speed is maintained?
anonymous
 one year ago
A cruise ship maintains an average speed of 15 knots in going from San Juan, Puerto Rico, to Barbados, West Indies, a distance of 600 nautical miles. To avoid tropical storm, the captain heads out of San Juan in a direction of 20 degrees off a direct heading to Barbados. The captain maintains the 15 knot speed for 10 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 15 knot speed is maintained?

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432783836686:dw S = san juan B = barbados M = middle point of the journey

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if the ship is going 15 knots for 10 hours, then how far does the ship travel (assuming it travels in a straight line)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1hint: 1 knot = 1 nautical mile per hour

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0600*15=9000 nautical miles?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that right? or am I misinterpreting?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1distance = unknown speed = 15 knots time = 10 hours distance = speed * time

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OHHH ok so then it would be 150

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah so the distance from S to M is 150 nautical miles dw:1432784489817:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what we need is the distance from M to B. We can find that by using the law of cosines

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1432784585295:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1c^2 = a^2 + b^2  2ab*cos(C) c^2 = 600^2 +150^2  2*600*150*cos(20) ... ... ... c = ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay gimme a sec to calculate

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's too large

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you need to be in degree mode

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I changed it to degree mode and it's still pretty big, I got about 461.90

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1better dw:1432785182237:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1then you'll use the law of sines to find angle SMB dw:1432785226747:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so sinA/a=sinB/b=SinC/c right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes you'll use that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0S=20 degrees B= M= s=461.90402 b=150 m=600

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 are those the right values?
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