Answer :
Final answer:
The distance between the points of a pair of dividers with arms 9.8 cm long and the angle between the arms is 62º can be found using the law of cosines in geometry. The calculated distance is approximately 8.24 cm.
Explanation:
The student is asking for the distance between the points of a pair of dividers when the arms are 9.8 cm long, and the angle between the arms is 62º. This is essentially a question in trigonometry or geometry. It can be solved by understanding the properties of an isosceles triangle formed by the dividers and using the law of cosines.
The distance, d, between the two points of the dividers can be calculated as follows:
d = sqrt( [tex]9.8^2 + 9.8^2[/tex] - 2*9.8*9.8*cos(62))
= 8.24 cm
Here, the law of cosines (c²=a²+b²-2ab*cosΘ) is applied to the isosceles triangle formed by the divider on a flat plane.
Learn more about Law of Cosines here:
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