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Everything I know is wrong!

Name: Suomynona 2009-06-27 17:27

I'm studying to get my GED and one of these practice problems has me confused.

I have a right triangle:
Sin A = 20 degrees
Opposite C = 4.26ft
Hypotenuse B = ?
Find B.

The formula they gave me looks like a simple division problem, Sin = Opp/Hyp.

Sin is the Quotient, Opp is the Dividend and Hyp is the Divisor.

I was taught long ago, to find the Divisor in a division problem you multiply the Dividend by the Quotient.

So I punched in 4.26 x 20sin into the calculator and get 1.45 (rounded to 1.5) which is wrong.

The correct why, or at least their way, to find the Divisor is to divide the Dividend by the Quotient.

4.26/20sin = 12.45 (round to 12.5).
Which undermines everything I was taught.

I just want to know why the old way doesn't work here.

Name: Anonymous 2009-06-27 20:51

Well, the question's wrong in a lot of ways.

The generally accepted labeling for a triangle is for the *angles* to be labelled in caps: A,B,C. The sides opposite each of them are then labeled n lowercase: a,b,c. I'd need a drawing to understand the issue there, but the real problem is:

Assuming A is an angle, and not a side, Sin A can't equal 20 *DEGREES*. It just cant. The Sin of an angle is a ratio of the length of the side opposite the angle over the length of the hypotenuse of the triangle. A Sin, then, will always be a scalar ranging between positive and negative one, and never ever an angle itself.

Unless I'm just missing something fundamental about trig, there's no method you could apply to that information that would yield any sensible result.

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