Question

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 1

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×$\pi$×3960×cos 0°

C=2×$\pi$×3960×1

C=7380$\pi$

Taking L=45° and r=3960 then;

C= 2×$\pi$×3960×cos 45°

C=5600.28$\pi$

Taking L=60° and r=3960 then;

C=2×$\pi$×3960×cos 60°

C=3960$\pi$

Taking L=90° and r=3960 then;

C=2×$\pi$×3960×cos 90°

C=2×$\pi$×3960×0

C=0

Conclusion

The values of the distance from around the Earth along a given latitude decreases with increase in the value of L when r is constant

Answer 2

Answer:

The distances range from about 24,881 miles to 0 miles.

Step-by-step explanation:

I just took the test.