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Determine the approximate value of x.

A. 2.045
B. 3.264
C. 6.736
D. Not enough information

Determine the approximate value of x. A. 2.045 B. 3.264 C. 6.736 D. Not enough information-example-1
User Chucky
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7.4k points

1 Answer

2 votes

Answer:

C. 6.736

Explanation:

The unmarked angle is 180-80-40 = 60 degrees. Given the angles of the triangle and one side length there is enough information to use the Law of Sines to solve the triangle--eliminating choice D.

The angle opposite x is larger than the angle opposite 5, so x will be larger than 5. That leaves only answer choice C: 6.736.

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If you want to actually use the law of sines to determine x, you know that ...

x / sin(60°) = 5 / sin(40°)

x = 5·sin(60°)/sin(40°) . . . . . . multiply by sin(60°)

x ≈ 6.736

User James Jensen
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