Answer:
16 degrees
Step-by-step explanation:
This is a right triangle with shorter leg 3 in and hypotenuse 11 in. The 3 in side is opposite the angle theta. Thus, by definition of the sine function,
sin theta = 3/11 = 0.273
Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees. This rounds up to 16 degrees.
