易爆maths其一

2007-04-20 4:54 am
the figure shows a part of a contour map of scale 1:3000 PQ repreents a path connecting two points P and Q on different contour lines . suppose PQ bmeasures 2.5 cm on the map, find the angle the real path makes with the horizontal.
可以長細d...可以嗎...please...........謝謝

http://dzhk.net/hk/upload/images/1176986830.bmp

回答 (2)

2007-04-20 5:38 am
✔ 最佳答案
english ok>?
actual distance of PQ=2.5x3000=7500cm
difference in height between P&Q
=altitude of Q- altitude of P=425-400=25m=2500cm
draw a triangle with a adjacent side of 7500 cm and opposite side of 2500cm
Let x be the angle
tanx=opposite side/adj side =2500/7500
tanx=1/3
x=18.43 度
2007-04-20 5:28 am
the real lingth of PQ= 2.5x3000 = 7500cm = 75m
the height = 425-375= 50m


Let x be the angle the real path makes with the horizontal:
tan x = 50/75
x=33.69

*the angle the real path makes with the horizontal is 33.69'

2007-04-19 21:28:55 補充:
sorry, 係length,唔係lingth,打錯了
參考: 自己計的


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