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Trigonometry questions(trig function applications)

  • Thread starter ConfusedMath
  • Start date Feb 25, 2010

ConfusedMath

  • Feb 25, 2010

Senior Member

I am stumped on this word problem, "Two sailboats leave a harbor in the bahamas at the same time. The first sails at 23 mph in a direction 330 degrees. The second sails at 34 mph in a direction 190 degrees. Assuming both maintain speed and heading, after 2 hours how far apart are the boats?" I found the distance of each boat( 23 mph*2, 34 mph*2) and set up 46=a and 68=b This is a recreation of the pic I drew, though I'm sure the angles are not to scale. (please excuse how crappy it is ) If I knew what angle C was I could find the distance(little c) with the law of cosines, but I don't know how to find the angle since the two angles (190 and 330) do not add up to 180.(ignore the straight line I have there, my angles are not drawn well to proportion) I only have two sides, and as far as I'm told with the info it is not a right triangle so can't use Pythagorean. How do I find the side, or other angles when I only have 2 sides, no supplementary angles and not a right triangle? Click to expand...
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two sailboats leave a harbor in the bahamas

Solve the problem. 37) Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 22 mph in a direction 350°. The second sails at 35 mph in a direction 220°. Assuming that both boats maintain speed and heading, after 3 hours, how far apart are the boats? A) 118.5 miles B) 136.2 miles C) 155.9 miles D) 103 miles

two sailboats leave a harbor in the bahamas

Snapsolve any problem by taking a picture. Try it in the Numerade app?

COMMENTS

  1. Two sailboats leave a harbor in the Bahamas at the same time. The first

    Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 25 mph in a direction 340°. The second sails at 29 mph in a direction 210°. Assuming that both boats maintain speed and heading, after 5 hours, how far apart are the boats? A. 157.4 mi B. 212 mi C. 175 mi D. 244.8 mi

  2. Solved: Two sailboats leave the harbor in the Bahamas at the same time

    Two sailboats leave the harbor in the Bahamas at the same time. The first sails at 25 mph in a direction 330° The second sails at 30 mph in a direction 220°. Assuming that both boats maintain speed and heading after 3 hours how far apart are the boats? 145.3 miles 135.4 miles 95.9 miles 78.4 miles.

  3. Two sailboats leave a harbor in the Bahamas at the same time. The first

    The distance between the two after 2 hours is 107.39 miles.. We are given that the two sailboats leave at the same time. The first sails at 22mph in the direction of .The second sails at 35mph in the direction of .First, we will calculate the total distance that each boat has taken after 2 hours.. Let us assume that;

  4. PDF Trigonometry (Chapter 6) Sample Test #1

    9) Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 25 mph in a direction 320°. The second sails at 30 mph in a direction 200°. Assuming that both boats maintain speed and heading, after 4 hours, how far apart are the boats? Boat 1 travels: 25 mph ∙4 hours

  5. Solved Two sailboats leave a harbor in the Bahamas at the

    Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 20 mph in a direction of 330 degrees. The second sails at a 34mph in a direction 220. Assuming that both boats maintain speed and heading, after 4 hours, how far apart are the boats? Here's the best way to solve it. Sailboat 1 V = 20 Velocity toward A = 20cos (30 ...

  6. Solved 6) Two sailboats leave a harbor in the Bahamas at the

    Question: 6) Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 24 mph in a direction 320°. The second sails at 28 mph in a direction 220°. Assuming that both boats maintain speed and heading, after 3 hours, how far apart are the boats? A) 119.8 miles B) 58.8 miles C) 78.6 miles D) 143.3 miles 7) Two airplanes ...

  7. Answered: Solve the problem. Two sailboats leave…

    Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 21 mph in a direction 350°. The second sails at 33 mph in a direction 220°. Assuming that both boats maintain speed and heading, after 4 hours, how far apart are the boats? O 125.6 miles O 196.8 miles O 171.9 miles O 142.7 miles.

  8. Solved Two sailboats leave a harbor in the Bahamas at the

    Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 21 mph in a direction 350°. The second sails at 32 mph in a direction 190 Assuming that both boats maintain speed and heading, after 3 hours, how far apart are the boats? Round your answer to the nearest tenth of a mile. O A. 156.7 m O B. 113.3 mi C. 125.5 mi O D ...

  9. SOLVED: Two sailboats leave harbor in the Bahamas at the ...

    Two sailboats leave harbor in the Bahamas at the same time. The first sails at 24 mph in a direction 350'. The second sails at 31 mph in direction 2102. ... How far apart are the two boats after 1 hr. 03:48. Two ships left a port at the same time. One ship traveled at a speed of 18 miles per hour at a heading (of 318. The other ship traveled at ...

  10. Trigonometry questions (trig function applications)

    "Two sailboats leave a harbor in the bahamas at the same time. The first sails at 23 mph in a direction 330 degrees. The second sails at 34 mph in a direction 190 degrees. Assuming both maintain speed and heading, after 2 hours how far apart are the boats?" I found the distance of each boat( 23 mph*2, 34 mph*2) and set up 46=a and 68=b

  11. SOLVED: Two sailboats leave harbor in the Bahamas at the ...

    Two sailboats leave harbor in the Bahamas at the same time. The first one sails at 25 mph bearing S70E. The second one sails at 32 mph on bearing NAOE. Assuming that the boats maintain their speeds and bearings, how far apart are they after 2 hours? Round off your answer to one decimal place. You must write down the steps leading to your answer.

  12. Solved: Solve the problem. Two sailboats leave a harbor in the Bahamas

    Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 23 mph in a direction 350°. The second sails at 32 mph in a direction 190°. Assuming that both boats maintain speed and heading, after 4 hours, how far apart are the boats? 134.4 miles 168.4 miles 153.9 miles 216.7 miles Nex

  13. Solved TWO Sailboats leave a harbor in the Bahamas at the

    Here's the best way to solve it. TWO Sailboats leave a harbor in the Bahamas at the same time. The first sails at 21 mph in a direction 340° The second sails at 33 mph in a direction 190° Assuming that both boats maintain speed and heading, after 3 hours, how far apart are the boats? Round your answer to the nearest tenth of a milo.

  14. Two sailboats leave a harbor in the Bahamas at the same time. The first

    Two sailboats leave the harbor in the Bahamas at the same time. The first sails at 25 mph in a direction 330° The second sails at 30 mph in a direction 220°. Assuming that both boats maintain speed and heading after 3 hours how far apart are the boats? (a)145.3 miles (b) 135.4 miles (c) 95.9 miles (d) 78.4 miles

  15. Solved: Solve the problem. 37) Two sailboats leave a harbor in the

    Solve the problem. 37) Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 22 mph in a direction 350°. The second sails at 35 mph in a direction 220°. Assuming that both boats maintain speed and heading, after 3 hours, how far apart are the boats? A) 118.5 miles B) 136.2 miles C) 155.9 miles D) 103 miles

  16. Answered: Two sailboats leave a harbor in the…

    The second sails at 33 mph in a direction 200°. Assuming that both boats maintain speed and heading, after 5 hours, how far apart are the boats? 15.1 12 Sin 120 = 15.4 26) Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 23 mph 2008. The cocond sails at 31 mph in a direction 190°. Assuming that both boa the boats?

  17. SOLVED: Solve the problem. 10) Two sailboats leave harbor in Ihe

    VIDEO ANSWER: We say that a ship leaves its port and sails on a bearing of north 34 degrees, 40 minutes east at a speed of 21.3 miles per hour. Another ship leaves the same port at the same time and sails on a bearing of south 55 degrees, 20 minutes

  18. Solved 10) Solve the problem. 10) Two sailboats leave a

    10) Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 23 mph in a direction 320°. The second sails at 28 mph in a direction 210°. Assuming that both boats maintain speed and heading, after 2 hours, how far apart are the boats? A) 55.5 miles B) 66.2 miles C) 83.8 miles D) 89.9 miles 11) - 11) Two airplanes

  19. Two sailboats leave a harbor in the Bahamas at the same time ...

    The first one is reacting with ferric oxide to form aluminum oxide and iron On the reactant side there are two moles of iron and we will place them in front of iron. Oxygen has three number of For Educators

  20. Two ships leave harbor at the same time.

    Two ships leave harbor at the same time. The first sails North 15 degress West at 25 knots. The second sails North 32 degress East at 20 knots. After 2 hours, how far apart are the ships?: From the given headings we can say the angle between the courses of the two ships: 15 + 32 = 47 degrees: After two hrs the 1st ship will have traveled 2*25 ...