Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary.

sin θ = 0.1736 O = ? H = 11

1 answer

Using the given information, we can find the angle by using the inverse sine function.

θ = sin^(-1)(0.1736)

Using a table of trigonometric values or a calculator, we find that sin^(-1)(0.1736) ≈ 10.03 degrees.

Therefore, the angle θ is approximately 10 degrees when rounded to the nearest degree.