Over a distance of 25 km how far does a horizontal plane depart from a level sur

Question

Over a distance of 25 km how far does a horizontal plane depart from a level surface? The solution to this problem requires some basic geometry. The 25-km distance is in a flat plane from the observation point, i.e. it is not the curved distance on the earth surface, rather it is a straight line distance in the sight plane of the observer. Calculate the approximate number of meters in one degree of latitude and the number of meters in one degree of longitude given your location is at the equator. Now using part of your answer to problem 4, calculate the approximate number of meters in one degree of longitude at 21 degree of latitude. Recall that the length of a degree of longitude varies with latitudes since meridians converge at the poles. Draw on your knowledge of the geometry o the earth and trigonometry to come to the solution.

Explanation / Answer

3. 25km depart from level surface

4. 111,319.9 meter

5. Longitude = cos (latitude) *Length of latitude

60973. 1 meter

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