Asked by John
An observer stands at a point P, one unit away from a track. Two runners start at the point S in the figure and run along the track. One runner runs 2 times as fast as the other. Find the maximum value of the observer's angle of sight è between the runners.
Thank you so much!
Thank you so much!
Answers
Answered by
Steve
well, naturally, the maximum angle will be when the two runners are at opposite ends of a diameter perpendicular to the line from the observer to the center of the circle.
If the track has radius r, then
max θ = 2arctan(r)
For lack of a diagram, I am unable to incorporate any further constraints.
If the track has radius r, then
max θ = 2arctan(r)
For lack of a diagram, I am unable to incorporate any further constraints.
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