SOLUTION: AB = 16cm AD = 12cm Angle BCD = 40 Degrees Angle ADB = Angle CBD = 90 cALCULATE THE LENGTH OF CD

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Question 1150191: AB = 16cm
AD = 12cm
Angle BCD = 40 Degrees
Angle ADB = Angle CBD = 90
cALCULATE THE LENGTH OF CD
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
draw this
O is where AB and CD meet
BD is a leg of the right triangle ABD and is 12^2+BD^2=256, so BD^2=112 and BD is 10.58
The sin of C, 40 deg is 10.58/CD, opposite/hypotenuse
CD=10.58/sin 40=16.46 cm