Posted by Layka on Thursday, December 27, 2012 at 11:28am.
The base of the Great Pyramid at Giza is a square that is 230 m on each side.
1.Find the height of the pyramid, knowing that when a person is standing at the center of its side he measures the angle of elevation of the apex to be 51 degrees with an error of +/ 0.5 degrees.
2. Build the model of the Great Pyramid at Giza using calculations from #1.
3. Use differentials to estimate the allowable error in the elevation angle that will ensure an error in the height is at most +/ 5m.

AP calculus  Steve, Thursday, December 27, 2012 at 11:58am
1. h = 115 tan51° = 142 m
with error, 139.51 <= h <= 144.57
2. sorry, you'll have to do that yourself!
3.
h = 115 tanθ
dh = 115 sec^2 θ dθ
5 = 115 * 2.525 dθ
dθ = .01722 = 0.986°
just as a check, our error of ±0.5° indicates a height error of
dh = 115*2.525*0.5*π/180 = ±2.53m which agrees quite nicely with the explicit values found above
Answer This Question
Related Questions
 measurements  The great pyramid of Giza was built around 2560 BC. It was ...
 math  The pyramid of Giza in Egypt is built of stone and was completed in 2560 ...
 math  Ira built a model of the Great Pyramid in Egypt for a school project. The...
 math  Ira built a model of the Great Pyramid in Egypt for a school project. The...
 geometry  The Great Pyramid of Giza was built around the year 2560 BC. It was ...
 Math  Ira built a model of the great pyramid in Egypt for a school project. The...
 Math  please help  The Great Pyramid of Giza is 280 feet tall and about 440 ...
 math  according to the smithsonian institute, many of the original stones were ...
 Math  the great pyramid of cheops is a square based pyramid with a height of ...
 math  A truncated square pyramid (also known as a frustum) is an object ...
More Related Questions