Question

My sample problem is 1+i and following that same path, where the two sides of the triangle would be 1 and the hypotenuse would be sq rt of 2, so the angle would be 45 degrees... but if I apply those same steps to 0+i then my sides are 0 and 1 and my hypotenuse would be 1 and my angle, ??? 

I need to know the angle to use the formula... r^1/n(cos(angle+2kpi/n) + (sin(angle+2kpi/n))

Ideas?

Answer 1

Their relative speed is constant. Hence the rate of change of distance between them does not vary.
The angle between their walking directions is 45°
and two sides are 2mi/h and 3mi/h i.e. their respective speed
Hence the third side i.e. their relative speed = v(2²+3²-2×3cos45)
= 2.96 mi/h { This is from cosine law of triangle for finding out the third side when two sides and the angle included between them is given}
Their distance at any time is increasing at the rate of 2.96 mi/h