Trigonaometric relation

2010-01-24 8:06 pm
Referring to the figure , find x and y.

http://img695.imageshack.us/img695/5408/72258501.png

回答 (1)

2010-01-24 8:43 pm
✔ 最佳答案

圖片參考:http://img695.imageshack.us/img695/5408/72258501.png


x/y = tan60 = √3.....(1)

(x - 6√3) / y = tan30 = √3/3.....(2)

By (1) : y = x / √3 ,
sub it to (2) :

(x - 6√3) / (x/√3) = √3/3

x - 6√3 = x/3

x(1 - 1/3) = 6√3

x = 9√3

y = 9√3 / √3 = 9


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