Question

Use the law of sines to find what Angle R is:

Answer 1

Explanation:

So, according to the law of Sines, we have

`(Sin(A))/(a) = (Sin(b))/(b)`

In our case, we have S and R, so...

`(Sin(S))/(s) = (Sin(R))/(r)`

And we want to isolate R...

`r = sin^(-1) ((Sin(S) * r)/(s) ) = sin^(-1) ((Sin(52) * 32)/(26) ) = 75.90`

the angle of R is then 75.90 degrees.