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

Answer

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Answer

\(\boxed{30}\)

Steps

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 :\(\boxed{30}\)

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