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Nikitich [7]
3 years ago
5

ANSWER = BRAINLIESTWhy does a = 8sin40?

Mathematics
2 answers:
pishuonlain [190]3 years ago
7 0

look at the shaded right-angled triangle on the left

8 is the hypotenuse n a is opposite to the 40-degree angle

by definition, sin = opposite side / hypotenuse

so sin40=a/8

rearranging a=8sin40


vova2212 [387]3 years ago
3 0

Two right-angled triangles share a common side with length a.

For the inverted triangle on the left, a is the opposite side to the 40-deg angle.

Its longest side, hypotenuse, is 8cm.

Use the sine function, sin40 = opposite/hypotenuse = a/8

Multiply 8 on both sides, a = 8sin40


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