Answer:
56.3 units
Explanation:
You want the side opposite a 102° angle in a triangle with a side of length 27 opposite a 28° angle.
Law of sines
The law of sines tells you side lengths are proportional to the sine of the opposite angle.
b/sin(102°) = 27/sin(28°)
b = 27(sin(102°)/sin(28°)) ≈ 56.3
The length of side b is about 56.3 units.
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Additional comment
The side labeled b is not the "hypotenuse" in this triangle. The term "hypotenuse" is reserved for the long side of a right triangle.
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