Solve for x. Round your answer to two decimal places. Show your work for full credit.
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Answer:
The value for x = 37.80.
Step-by-step explanation:
Here, the given triangle is a right angled triangle.
Also, Ф = 32°
Now, using Trigonometric Function:
[tex]\sin \theta = \frac{Perpendicular}{Hypotenuse}[/tex]
⇒[tex]Sin (32) = \frac{20}{x} \impliesx = \frac{20}{Sin(32)}[/tex]
Also, using the trigonometric table,
Sin (32°) = 0.529
⇒ x = 20 / 0.529 = 37.80
Hence, the value for x = 37.80.