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Pre-Calculus Practice Problem 141

Pre-Calculus Practice Problem 141 - resultant 4.2 bearing...

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Unit 4, Activity 5, Practice with Vectors with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 139 Comprehensive Curriculum, Revised 2008 b) How far is the ship from its starting point, and what is the bearing from the ship to the starting point? 3. For each of the following problems: i. Find the resultant of two given displacements. Express the answer as a distance and a bearing (clockwise from the north) from the starting point to the ending point. ii.Tell the bearing from the end point back to the starting point. iii. Draw the vectors on graph paper, using ruler and protractor. Show that your answers are correct to 0.1 units of length and 1 degree of angle. a) 9 units north followed by 6 units along a bearing of 75 degrees resultant 12.0; bearing 245 o b) 8 units east followed by 10 units along a bearing of 170 degrees
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Unformatted text preview: resultant 4.2; bearing 346 o c) 6 units south followed by 12 units along a bearing of 300 degrees resultant 10.4; bearing 90 o 4. An object moves 90 meters due south (bearing 180 degrees) turns and moves 50 more meters along a bearing of 240 degrees. a) Find the resultant of these two displacement vectors. 122.9 b) What is the bearing from the end point back to the starting point? 200 ◦ Writing activity: How does a vector differ from a line segment? A possible answer would be “A vector has both magnitude and direction while a line segment has only magnitude.” Use the law of cosines to find the resultant: 347 km Find ∠ x using the law of sines: 54.3 o Add 20 o to 54.3 o giving 74.3 o for the bearing from the starting point to the ending point. 20 o x...
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