Maths 問題 (急)(10點)

2007-09-01 7:37 pm
請給予詳盡步驟,答晒同多step 既比佢最佳回答!
P.62 (http://www.hkedcity.net/ihome/cabinet/get_file.phtml?CCI01092007_00001.bmp)
19) c) Using the results of part A and B, determine whether cos2Θ = 2cosΘ is always true.

20) (http://www.hkedcity.net/ihome/cabinet/get_file.phtml?CCI01092007_00001.bmp)
In the figure, the height of △ABC is H m. AB = 100m, ∠A = 40∘and ∠B = 30∘. Find the value of H, correct to 1 decimal place.

回答 (1)

2007-09-09 9:32 am
✔ 最佳答案
我入唔到hkedcity,所以估下係唔係咁做
19) cos2Θ=2cos^2Θ-1
so,cos2Θ is not equal to 2cosΘ
20)by sine formula,
AB/sinC=AC/sinB
100/sin110=AC/sin30
AC=53.209m (correct to 5 decimal place)
area of △ABC =1/2AB(AC)sinA
.....................=1710.1m^2 (correct to 5 decimal place)
(如果H係垂直於AB)
1/2AB(H)=1710.1
..........H=34.2m
(如果H係垂直於AC)
1/2AC(H)=1710.1
..........H=62.3m
(如果H係垂直於BC)
1/2BC(H)=1710.1
BC可用sine law揾
參考: 19)係Amath公式


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