Slope = Rise/Run

Question

The Great Pyramid at Giza near Cairo, Egypt stands 137 meters tall.  It's base is a square with each side measuring 230 meters wide.  What is the slope of the Pyramid?

 

Slope = Rise/Run

 

Slope = 137/920 (230x4)?

Answer 1

The height is a line segment from the tip of the pyramid drawn perpendicular to the base of the pyramid and should be in the center of the square base.  From this central point, draw a perpendicular line to any one of the four sides of the base. This line segment is half the length of any side of the base. Therefore the rise is 137 m

and the run is half of 230 m or 115 m. The slope is the rise/run which is 137/115.

m=137/115

137/115=1.1913043

The pyramid has a slope of about 51 degrees and tan 50 degrees equals 1.1913043 while

tan 51 degrees equals 1.234897 so this puts us in the ballpark.

 

 

 

Answer 2

m = 137/ 230 = 0.37