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trigonometry

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圖片參考:http://imgcld.yimg.com/8/n/HA07687437/o/701112040074413873407540.jpg 1.find the angle between the plane AFH and the plane EFGH. (DH=9 cm, HG=6cm, FG=8cm) (ans: 61.9)圖片參考:http://imgcld.yimg.com/8/n/HA07687437/o/701112040074413873407551.jpg 2. in the figure, trianlge ABC is propped up by a vertical... 顯示更多 圖片參考:http://imgcld.yimg.com/8/n/HA07687437/o/701112040074413873407540.jpg 1.find the angle between the plane AFH and the plane EFGH. (DH=9 cm, HG=6cm, FG=8cm) (ans: 61.9) 圖片參考:http://imgcld.yimg.com/8/n/HA07687437/o/701112040074413873407551.jpg 2. in the figure, trianlge ABC is propped up by a vertical rod AP. P, B and C are three points on the horizontal ground. AB=AC=18cm,BC=30cm and angle ABP=25. Find the angle between the plane ABC and the horiztontal ground. (ans: 49.9) 唔該有冇人可以比STEPS我

最佳解答:

1. (assume ABCDEFGH is a rectangular column) join a line from F to H let a point W is on FH such that EW is perpendicular to FH i. find the length of EW consider the area of triangle FGH = 24 consider the area of triangle EFH: FH = 10 EW x FH / 2 = 24 => EW = 4.8 ii. consider triangle AEW tan (angle AWE) = AE/EW tan (angle AWE) = 9/4.8 angle AWE = .... 2. let M be the midpoint of BC => BM = MC = 15 since triangle ABC is an isoceles triangle therefore, triangle ABM is a right angled triangle with angle AMB is a right angle (let you proof) consider triangle ABM and find AM: AM^2 = AB^2 - BM^2 => AM = ... consider triangle ABP and find AP sin 25 = AP/18 => AP = .... consider triangle AMP: sin (angle AMP) = AP/AM => angle AMP = ...

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