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
To find the angle θ in the right triangle, we can use the inverse sine function. Given that sin θ = 0.1736, we can find θ by looking up the inverse sine of 0.1736 in a table of trigonometric values. Rounding to the nearest degree, the inverse sine of 0.1736 is approximately 10 degrees. Therefore, θ is approximately 10 degrees.
To find the angle θ, we need to use the sine inverse function (also known as arcsine or sin^(-1)). Given that sin θ = 0.1736, we can use a trigonometric table or a scientific calculator to find the value of θ.
Looking at the table or using a calculator, we find that the arcsine of 0.1736 is approximately 10 degrees.
Therefore, the angle θ in the right triangle is approximately 10 degrees.