Posted by joe on Friday, February 10, 2012 at 6:18am.
the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls

trigonometry  Reiny, Friday, February 10, 2012 at 8:17am
Construct the trapezoid ABCD ,where AB  CD
AB = 12 and CD = 22
angle C=65 and angle D = 40
Draw AE  BC where E is on CD
So now ABCE is a parallelogram, and CE = 12
which makes ED = 10
Now look at triangle AED, by corresponding angles
angle AED = 65°, angle D = 40 leaving angle DAE = 75°
by sine law:
AD/sin65 = 10/sin75
AD = 10sin65/sin75 = 9.38
by sine law:
AE/sin40 = 10/sin75
AE = 6.65
but BC = AE, (gram
So the side adjacent to the 65° angle is 6.65, the side adjacent to the 40° angle is 9.38
check my arithmetic, I am only on my first coffee. 
trigonometry  joanne, Thursday, March 15, 2012 at 12:00am
wow this really helps!! :D I have the same problem too haha thanks!!!

trigonometry  Paul, Thursday, July 4, 2013 at 7:50am
Hey thanks! I have the same problem. never thought it would be this easy.

trigonometry  daryl, Friday, July 10, 2015 at 11:44pm
tnx bro!

trigonometry  balh blahw, Sunday, January 29, 2017 at 5:19pm
where'd you get that 10 and 12