Figure: http://img232.imageshack.us/f/img232/4456/37788541.jpg
In the figure, ABCDEFGH is a rectangular block of dimensions 10 cm x 8cm
x 6 cm. P is the mid-point of BG. FH and GE intersect at Q. Find the angle
between PQ and the plane ABGF.
SS1 Maths 3-D Questions
2010-05-27 5:22 am
回答 (1)
2010-05-27 6:23 am
✔ 最佳答案
圖片參考：http://imgcld.yimg.com/8/n/HA04628698/o/701005260146013873415000.jpg
The required angle is ㄥQPO , O is the mid point of FG.
tan ㄥQPO = QO / PO ;
PO^2 = PG^2 + OG^2 = (6/2)^2 + (8/2)^2 = 25
PO = 5 cm;
QO = 10/2 = 5 cm ;
tan ㄥQPO = 5/5 = 1
ㄥQPO = 45°
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