Problem

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

Solution

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: \(\boxed{6.6}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15580/

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