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dalvyx [7]
3 years ago
11

Solve for the indicated variable

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

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:

\frac{200}{ \sin(48) }  =  \frac{x}{ \sin(65) }  \\ x \sin(48)  = 200 \sin(65)  \\ x =  \frac{200 \sin(65) }{ \sin(48) }  \\ x = 243.911

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