randomstuffspam720
randomstuffspam720 randomstuffspam720
  • 04-05-2020
  • Mathematics
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Solve for the indicated variable

Solve for the indicated variable class=

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MikeMart77
MikeMart77 MikeMart77
  • 04-05-2020

Answer:

243.911, or rounding to the nearest unit, 244.

Step-by-step explanation:

For this, you need to know a concept in Trigonometry called "Law of Sines". This states that the ratio of any side of a triangle to the sine of the angle opposite is equal for all cases in that triangle.

Knowing this:

[tex] \frac{200}{ \sin(48) } = \frac{x}{ \sin(65) } \\ x \sin(48) = 200 \sin(65) \\ x = \frac{200 \sin(65) }{ \sin(48) } \\ x = 243.911[/tex]

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