Question

What is the measure of ∠R ?

Answer 1

Answer:

$(m$

Step-by-step explanation:

we know that

In the right triangle RST

$sin(R\°)=\frac{ST}{RT}$ -----> opposite side to angle R divided by the hypotenuse

substitute the values

$sin(R\°)=\frac{30}{40}$

$(m$

Answer 2

You want to find R. From angle R, you know the side lengths for opposite and hypotenuse. According to SohCahToa, that is sine. Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
Sine(x)=.5. To get x by itself divide both by the inverse of sine.