Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
fill in the missing information.
text should be lower case.
calculate the value for x.
answer (round to 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify trigonometric ratio

We use $\tan$ since we know the adjacent side and want the opposite side. $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 16^{\circ}$ and adjacent side is 12, and opposite side is $x$. So $\tan16^{\circ}=\frac{x}{12}$.

Step2: Solve for $x$

We know that $\tan16^{\circ}\approx0.2867$. Then $x = 12\times\tan16^{\circ}$. Substituting the value of $\tan16^{\circ}$, we get $x=12\times0.2867 = 3.4404$. Rounding to 1 - decimal place, $x = 3.4$.

Answer:

$x = 3.4$