怎樣計算黃浦江的寬度?

2006-12-20 3:23 am
有冇人知點先可以
計到黃浦江ge寬度
知ge唔該詳細解釋

回答 (2)

2006-12-22 2:58 am
✔ 最佳答案
先係b岸ge地方
選一點c
令a,b,c三點
成為三角形
設b,c兩點都係浦東岸邊
咁bc的長度就可以直接量出呢

如題量到bc=521.21米
∠a同∠c也可以用精密ge經緯儀
測出呢

如果測到
∠a=45∘16’42”
∠c=46∘43’12”

係三角形abc中
∠a,∠c,bc都測出呢
利用正弦定理計出ab的長度

由正弦定理

sin∠c」ab=sin∠a」bc

1.0246*521.21
=533.94米

誤差大約3cm
2006-12-20 4:25 am
要用經緯儀 (theodolite)。 ...........
Two persons are position in the opposite bank of the river with the SAME sea level ALONG the banks.
Let the one with theodolite be A and the one with the flag at the opposite bank be B. The position of A is fixed. Firstly, B stands at the original position (say, O) and A observes B and then set the theodolite to be zero.
After setting zero, B moves STRAIGHT towards right and then stop in a distance, say, d1. A then records the angle ( say, w1 ) observed.
B then moves STRAIGHT backward and then stop in a distance d2 FROM the original position O.
The river width is then computed by d1, d2, w1 and w2.

Points to be notice:
1) A and B should be in the same sea level otherwise the level difference at EACH points MUST be known in the computation.
2) B must move in a straight line. This is easily be done by methods such as 拉緊漁絲
3) B need not to move backward. B may also move straight in the second move. Moving backward is just a practice to reduce the reading error in setting the theodolite. However, B must always move in a straight line.
4) May take more measurement for comparison.
5) In order to reduce the percentage error, it would be better to take d1 and d2 approximately equal to the estimated river width. However, in practice, 50m, 100m or 1000m are used for ease of computation.

I am sorry that my chinese input is horrible and so I just typed the answer in english. I will be glad if anyone agree with my answer and translate it into chinese.

2006-12-21 22:58:05 補充:
Is ab the river width? Impossible! You even did not point out the correct position of the theodolite!!!
參考: My on-site experience.............. 我是一個失業地盤佬。


收錄日期: 2021-04-28 13:22:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061219000051KK02981

檢視 Wayback Machine 備份