SOLUTION: I am buying an "A" frame trailer coupler. I am using it a little different than sometimes used. So I know that the angle of the the coupler is 50 degrees. I need to know that if I

Algebra ->  Triangles -> SOLUTION: I am buying an "A" frame trailer coupler. I am using it a little different than sometimes used. So I know that the angle of the the coupler is 50 degrees. I need to know that if I       Log On


   

Question 553680: I am buying an "A" frame trailer coupler. I am using it a little different than sometimes used. So I know that the angle of the the coupler is 50 degrees. I need to know that if I attach to steel channels to it, and it's going out at 50 degrees, about how far can I go until the width of the ends is about 70 inches.

To state it in plain mathematical terms, if I have a triangle where the top angle is 50 degrees, how far will the two sides be so that the bottom of the triangle is 70 inches long?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if I have a triangle where the top angle is 50 degrees, how far will the two sides be so that the bottom of the triangle is 70 inches long?
:
We know the two other angles will be %28180-50%29%2F2 = 65 degrees angles B & C
:
Using the law of sines where A=50 degrees, a = 70 inches, find b or c
sin%28A%29%2Fa = sin%28B%29%2Fb
sin%2850%29%2F70 = sin%2865%29%2Fb
.766%2F70 = .9063%2Fb
Cross multiply
.766b = 70 * .9063
.766b = 63.44
b = 63.44%2F.766
b = 82.8 ~ 83 inches, the length of the two sides, the ends will be 70 inches apart