Problem

Determine the value of $x$.
\[
\sin 25^{\circ}=\frac{x}{15.6}
\]
0.03
12.2
6.6
36.9

Answer

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Answer

Round the value of x to one decimal place: \(\boxed{6.6}\)

Steps

Step 1 :Rearrange the equation to isolate x: \(x = 15.6 \cdot \sin 25^\circ\)

Step 2 :Calculate the sine of 25 degrees: \(\sin 25^\circ = 0.42261826174069944\)

Step 3 :Substitute the sine value into the equation: \(x = 15.6 \cdot 0.42261826174069944\)

Step 4 :Calculate the value of x: \(x = 6.592844883154911\)

Step 5 :Round the value of x to one decimal place: \(\boxed{6.6}\)

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