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.
12
16°
x
calculate the value for x.
answer (round to 1 decimal): x =
(ie 1.2 or 16.0)

Explanation:

Step1: Identify trigonometric ratio

We know $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 16^{\circ}$ and the adjacent side to $\theta$ is $12$, and the opposite side is $x$. So $\tan(16^{\circ})=\frac{x}{12}$.

Step2: Solve for $x$

We can rewrite the equation as $x = 12\times\tan(16^{\circ})$. Since $\tan(16^{\circ})\approx0.2867$, then $x=12\times0.2867 = 3.4404\approx3.4$.

Answer:

$x = 3.4$