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January 30, 2015

January 30, 2015

Posted by **Lisa** on Wednesday, March 23, 2011 at 11:51pm.

I'm confused about how to solve this problem. Could someone show me the steps?

- Math -
**Jai**, Thursday, March 24, 2011 at 1:12amto get the resultant or the total distance, we use distance formula:

d = sqrt[ (x2-x1)^2 + (y2-y1)^2 ]

where

(x1,y1) is our reference/starting point, and

(x2,y2) is the final point

assuming our reference point is at the origin which is at (0,0)

d = sqrt[ (x2)^2 + (y2)^2 ]

substituting:

d = sqrt[ (19)^2 + (-32)^2 ]

d = 37.22 km

*note: we use -32 since it is travelling south/downward direction

getting the direction: let theta = angle from x-axis measured counterclockwise,,

tan (theta) = y/x

tan (theta) = (-32)/19

theta = -59.3 degrees

*note: the negative sign means opposite direction, or it is rotated clockwise

since we need the angle to be relative to south/y-axis,

90 - 59.3 = 30.7 degrees from south

thus distance = 37.22 km , 30.7 degrees from south

hope this helps~ :)

- Math -
**Lisa**, Thursday, March 24, 2011 at 2:36amThank you so much! This definitely helped! =)

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