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In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?


A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1

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In the diagram AB is parallel to DE Also DE is drawn such that the length of DE is half the length of AB If sin A 05 then what is sin E A 2 B 1 C 05 D 025 E 01 class=

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joshphillies2ow1cdk

I believe it is C, there is a geometric law that states that the opposite angles across a line with both going into parallel lines will be the same angle. Rather confusing but a video online would likely explain it better than anyone could here.

Answer:

Option C. 0.5

Step-by-step explanation:

In the given diagram, AB is parallel to DE, and line AE is the transverse.

So ∠DEF ≅ ∠FAB [ Alternate angles ]

and ∠EFD ≅ AFB ≅ 90° [ Vertically opposite angles ]

So, Third angle of the triangles will also be equal.

Since angles DEF and FAB are equal so their sine values will also be equal.

Therefore, sinA = sinE = 0.5

Option C). 0.5 will be the answer.