Angelique draws triangle GHK If m angle cap g is equal to 30 degrees , g is equal to 3 , and k is equal to 4 , what is the approximate length of h ?

Use the Law of Sines: sin K / 4 = sin 30° / 3, so sin K = 2/3. This allows two possible angles for K, about 41.8° or 138.2°, giving two possible angles for H. Since h / sin H = 3 / sin 30° = 6, the possible lengths of h are about 5.7 or 1.2. Choice B gives both lengths.

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