# How do you know if to divide or multiply in soh cah toa problem for example Sin30=x/5?

Aug 24, 2015

$x = 5 \sin 30$

#### Explanation:

Perhaps I don't understand your question, but I think there isn't any need for sohcahtoa in this equation.

If you need to solve for x, remember that $\sin 30$ is simply a number. So solving this is like solving $9 = \frac{x}{2}$. Multiply both sides by the denominator (or cross multiply if you want to think of it that way).

$\sin 30 = \frac{x}{5}$

$\frac{x}{5} = \sin 30$

$5 \left(\frac{x}{5}\right) = 5 \sin 30$

$x = 5 \sin 30$

If this is supposed to be $\sin {30}^{\circ}$, thne use $\sin {30}^{\circ} = \frac{1}{2}$, so we are solving:

$\frac{1}{2} = \frac{x}{5}$ so $x = \frac{5}{2}$

(If it's really $\sin 30$, then we'll need some way to approximate $\sin 30$.