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 - the great pyramid of cheops is a square based pyramid with a height of ...
- 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...
- 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 ...
- geometry - The Louvre Pyramid in Paris, France, has the same proportions as the ...
- Geometry - The Great Pyramid of Cheops in Giza, Egypt, was completed around 2566...
- math - according to the smithsonian institute, many of the original stones were ...

More Related Questions