## anonymous 4 years ago How to Find out; the Resultant Displacement & the Direction of the resultant (with respect to +ve x-axix) If a Car travels 200 km due EAST and then 150 km 60 (degrees) North Of East.

1. TuringTest

Draw a vector diagram:|dw:1329594315669:dw|it looks Law of cosines will take care of this in a flash$\large d^2=a^2+b^2-2ab\cos D$where D is the angle that subtends side d (which is the displacement, and a and b are the other sides of the triangle

2. TuringTest

knowing that you can then find the angle of direction (beta) by using the law of cosines again|dw:1329594764737:dw|

3. TuringTest

I should just call the direction angle B, sorry*

4. TuringTest

|dw:1329594887617:dw|$b^2=d^2+a^2-2da\cos B$solve for B to get the angle

5. anonymous

so angle D must be 120....Right.. ?

6. anonymous

d= 304.138 & 25.28 degrees Thanks!

7. TuringTest

nice job :D welcome!