Two people starts from the same point at .
One walks toward east with a speed of mi/h.
Other walks towards northeast with a speed of mi/h.
Therefore, and .
Assume after some time , first person reaches the point and other one reach the point .
Let the sides of the triangle be considered , and .
One person moves east and other one moves northeast means angle between them is .
Apply cosine rule to the .
.
Substitute in above expression.
Differentiate on each side with respect to .
Find the rate at which the change in the distance between them after minutes.
Distance travelled by the first person in minutes is mi.
Distance travelled by the second person in minutes is mi.
Find distance between the two persons after minutes:
Consider .
Substitute corresponding values in above expression.
Rate at which the change in the distance between them after minutes is .
Rate at which the change in the distance between them after minutes is .
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