Problem
Use a table of trigonometric values to find the angle $\theta$ in the right triangle in the following problem. Round to the nearest degree, if necessary. \[ \sin \theta=? \quad O=8 \quad H=16 \] NOTE: Please DO NOT type in the word DEGREES in your answer. If you enter the word DEGREES, your answer will be considered incorrect. Enter answer: degrees
Solution
Step 1 ：Given a right triangle with opposite side O = 8 and hypotenuse H = 16, we need to find the angle θ such that sin(θ) = O/H.
Step 2 ：Using the sine function, we have sin(θ) = 8/16 = 0.5. By checking a table of trigonometric values, we find that θ = \(30^\circ\).
Step 3 ：\(\boxed{30}\)
