Solve for x sin(48)=16/x

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Trigonometry

$\sin (48) = \frac{16}{x}$

Rewrite the equation as $\frac{16}{x} = \sin (48)$ .

$\frac{16}{x} = \sin (48)$

Evaluate $\sin (48)$ .

$\frac{16}{x} = 0.74314482$

Solve for $x$ .

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Multiply each term by $x$ and simplify.

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Multiply each term in $\frac{16}{x} = 0.74314482$ by $x$ .

$\frac{16}{x} \cdot x = 0.74314482 \cdot x$

Cancel the common factor of $x$ .

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Cancel the common factor.

$\frac{16}{x} \cdot x = 0.74314482 \cdot x$

Rewrite the expression.

$16 = 0.74314482 \cdot x$

$16 = 0.74314482 x$

Rewrite the equation as $0.74314482 x = 16$ .

$0.74314482 x = 16$

Divide each term by $0.74314482$ and simplify.

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Divide each term in $0.74314482 x = 16$ by $0.74314482$ .

$\frac{0.74314482 x}{0.74314482} = \frac{16}{0.74314482}$

Cancel the common factor of $0.74314482$ .

$x = \frac{16}{0.74314482}$

Divide $16$ by $0.74314482$ .

$x = 21.53012367$

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