Asked by rick
Two ships sail from port P. One sails 14km due south while the other sails 17km on a bearing of 120 degrees. Calculate to one decimal place the distance between the ships.
Answers
Answered by
Reiny
I will assume that by a bearing of 120 degrees you mean
S 60° W , so we have a simple application of the cosine law:
From your sketch
x^2 = 14^2 + 17^2 - 2(14)(17) cos 60°
etc
S 60° W , so we have a simple application of the cosine law:
From your sketch
x^2 = 14^2 + 17^2 - 2(14)(17) cos 60°
etc
Answered by
Rick
Look at this like a triangle. Port P is the top point of the triangle. One sails 14km straight down (south) the other sails at an angle for 17km(this would be the hypotonus)
Remembering A squared + B squared = C squared
(14*14) + (B*B) =17 *17
196 + (B*B) = 289
B*B = 289-196
B*B = 93
B= square root of 93
B =9.643...….
Remembering A squared + B squared = C squared
(14*14) + (B*B) =17 *17
196 + (B*B) = 289
B*B = 289-196
B*B = 93
B= square root of 93
B =9.643...….
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.