Solve for H sin(-67.3)=-12/H

$\sin (- 67.3) = - \frac{12}{H}$

Rewrite the equation as $- \frac{12}{H} = \sin (- 67.3)$ .

$- \frac{12}{H} = \sin (- 67.3)$

Evaluate $\sin (- 67.3)$ .

$- \frac{12}{H} = - 0.92253808$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$H, 1$

The LCM of one and any expression is the expression.

$H$

Multiply each term in $- \frac{12}{H} = - 0.92253808$ by $H$ to eliminate the fractions.

Multiply each term in $- \frac{12}{H} = - 0.92253808$ by $H$ .

$- \frac{12}{H} H = - 0.92253808 H$

Simplify the left side.

Cancel the common factor of $H$ .

Move the leading negative in $- \frac{12}{H}$ into the numerator.

$\frac{- 12}{H} H = - 0.92253808 H$

Cancel the common factor.

$\frac{- 12}{H} H = - 0.92253808 H$

Rewrite the expression.

$- 12 = - 0.92253808 H$

Solve the equation.

Rewrite the equation as $- 0.92253808 H = - 12$ .

$- 0.92253808 H = - 12$

Divide each term in $- 0.92253808 H = - 12$ by $- 0.92253808$ and simplify.

Divide each term in $- 0.92253808 H = - 12$ by $- 0.92253808$ .

$\frac{- 0.92253808 H}{- 0.92253808} = \frac{- 12}{- 0.92253808}$

Simplify the left side.

Cancel the common factor of $- 0.92253808$ .

Cancel the common factor.

$\frac{- 0.92253808 H}{- 0.92253808} = \frac{- 12}{- 0.92253808}$

Divide $H$ by $1$ .

$H = \frac{- 12}{- 0.92253808}$

Simplify the right side.

Divide $- 12$ by $- 0.92253808$ .

$H = 13.007593$