標題:

maths trigonometry

發問:

圖片參考:http://imgcld.yimg.com/8/n/HA00274964/o/20131106233309.jpg could you please explain this question with steps? thanks!

最佳解答:

(=^o^=) Yuki, nice question!!! (1) Note that AB // DC. (2) Then, you can know that △ABE ~ △DCE (AAA) (3) By similar triangle, you know that BE : DE = AB : DC (this is what you are asked) (4) Note that tan φ = AB/BC tan θ = DC / BC (5) Therefore, BE : DE = AB : DC = AB/BC : DC/BC = tan φ : tan θ

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