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Sagot :
Answer
The length of the arc = 11.52 miles
Explanation
The length of an arc is given as
[tex]\text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r[/tex]For this question,
θ = Angle subtended at the middle of the circle we are concerned about = 10 minute = (10/60) degrees = 0.167 degrees
π = pi = 3.142
r = radius of the earth = 3960 miles
[tex]\begin{gathered} \text{Length of an arc = }\frac{\theta}{360\degree}\times2\pi r \\ \text{Length of an arc = }\frac{0.167\degree}{360\degree}\times2\pi\times3960 \\ =11.52\text{ miles} \end{gathered}[/tex]Hope this Helps!!!
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