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January 31, 2015

January 31, 2015

Posted by **christine** on Monday, June 6, 2011 at 8:28pm.

- maths -
**Reiny**, Monday, June 6, 2011 at 10:12pmI made a quick sketch and found the angle between the two paths to be 60°

So it becomes a simple Cosine Law

x^2 = 25^2 + 30^2 - 2(25)(30)cos60

= 775

x = √775 = 27.84 appr.

- maths -
**MathMate**, Monday, June 6, 2011 at 10:13pmTake x as east, and y as north, and the starting position as (0,0).

The coordinates of the first stop are

(-25cos(30°), -25sin(30°)

The second stop is simply 30km towards +y, or

(-25cos(30°), 30-25sin(30°)

=(21.65,17.5)

Use Pythagoras theorem to calculate the distance from the original point (0,0).

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