The distance from around the Earth along a given latitude can be found using the formula C=2∏r cos L , where r is the radius of the Earth and L is the latitude. The radius of Earth is approximately 3960 miles. Describe the distances along the latitudes as you go from 0° at the equator to 90° at the poles.

Answer:The distance reduces to 0 as you go from 0° to 90°Step-by-step explanation:The question requires you to find the distance using different values of L and check the trend of the values.Given C=2×pi×r×cos L where L is the latitude  in ° and r is the radius in miles then;Taking r=3960 and L=0° , C=2×[tex]\pi[/tex]×3960×cos 0°C=2×[tex]\pi[/tex]×3960×1 C=7380[tex]\pi[/tex]Taking L=45° and r=3960 then;C= 2×[tex]\pi[/tex]×3960×cos 45°C=5600.28[tex]\pi[/tex]Taking L=60° and r=3960 then;C=2×[tex]\pi[/tex]×3960×cos 60°C=3960[tex]\pi[/tex]Taking L=90° and r=3960 then;C=2×[tex]\pi[/tex]×3960×cos 90°C=2×[tex]\pi[/tex]×3960×0C=0ConclusionThe values of the distance from around the Earth along a given latitude decreases with increase in the value of L when r is constant