I am given that (sin 33.2 degrees)/(x) = (sin 45.6 degrees)/(13.7).
I am supposed to find all real numbers that satisfy the equation above and round approximate answers to 2 decimal places. How do I solve a problem like this?
+81 \(\frac{sin(33.2)}{x}=\frac{sin(45.6)}{13.7}\)
Alright, so the first thing you want to do here is to find the values of the sine functions.
\(sin(33.2) = 0.547563223493\)
Which rounded to 2 decimal places is 0.55.
\(sin(45.6) = 0.714472679633\)
Rounded to 2 decimal places that's 0.72 (the 7 behind the two 4's carries down the line).
So, now we have: \(\frac{0.55}{x}=\frac{0.72}{13.7}\)
Then you have to cross multiply.
\(0.72x=(13.7)(0.55)\)
Then multiply 13.7 by 0.55.
\((13.7)(0.55) = 7.535\)
Round to 7.54
\(0.72x=7.54\)
Then divide both sides by 0.72.
\(7.54/0.72 = 10.4722222222222222\)
Round that to 10.47
\(x=10.47\)
Does that make sense?
