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A: 4070 km@165

HEAD TO TAIL- The Picture. A: 4070 km@165. B: 1600 km@270. RESULTANT 2000 km @ 240. C: 2600 km@340. Now we will complete the same problem using the “Goal Post Method” to solve the problem mathematically. The picture from the “Head to tail” method will help guide us through the problem.

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A: 4070 km@165

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  1. HEAD TO TAIL- The Picture A: 4070 km@165 B: 1600 km@270 RESULTANT 2000 km @ 240 C: 2600 km@340

  2. Now we will complete the same problem using the “Goal Post Method” to solve the problem mathematically. The picture from the “Head to tail” method will help guide us through the problem. • Remember: • The Head to Tail method helps us estimate a resultant • The “Goal Post Method” gives us a reliable value

  3. Ax HEAD TO TAIL- The Picture A: 4070 km@165 Ay B: 1600 km@270 By RESULTANT ? @ ? Ay + By + Cy C: 2600 km@340 Cy Cx Ax + Bx + Cx

  4. To find the magnitude of the resultant use Pythagorean Theorem: Resultant 2= (sum of x)2 + (sum of y)2 Resultant 2= (-1488)2 + (-1435)2 R = 2067 km To find the direction of the resultant use inverse tangent: Tangent -1 y/x = angle in quadrant Angle = 46 degrees below west or 180 + 46 Angle = 226 degrees

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