The triangle is right angles triangle,
So we can use sin theta here as,

We are given from figure,
Perpendicular = 5cm and hypotenuse =13cm
Plugging these in the formula,

sin R =0.3846
Now here we take sin inverse to get the value of angle R,
R = 22.6189 degrees.
Answer: Angle R is 22.6189 degrees.