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
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.
To find the angle θ, we can use the inverse sine function (sin^(-1)).
Given that sin θ = 0.1736, we can write this as:
θ = sin^(-1)(0.1736)
Using a calculator or a table of trigonometric values, find the inverse sine (sin^(-1)) of 0.1736.
The inverse sine of 0.1736 is approximately 10 degrees.
Therefore, the angle θ in the right triangle is approximately 10 degrees.