Mike D. answered • 05/24/21
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In 7 minutes the wheel will make 7/12 revolutions.
Circumference is 2πr = 2 π x 50 = 100π
So 7/12 revolution is a distance around the circumference of (7/12) x 100π = 183.3 ft
[ unnecessary to use sine and cosine here]
Tapti C.
i got 183.3 ft as well but its not correct. the correct is 48.3 and i dont get why
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05/24/21
Mike D.
It must be point to point distances. Assume center of the wheel is at (0,0), and second person gets on at the bottom ie at (0, -25). After 7 minutes the wheel has rotated through (7/12) revolutions ie 210 degrees so the first persons position will be in the 2nd quadrant, with reference angle 60 degrees. So the coordinates of the first person will be (-25 cos 60, 25 sin 60). Then you can just use the distance formula to find the distance between the two as you know both their coordinates.
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05/24/21
Mike D.
I just calculated that and it comes out to 48.3
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05/24/21
Mike D.
I'm assuming distance is the distance around the wheel ? Not very clear. If it is the point to point straight line distance then it's more complicated.05/24/21