Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
calculate the value for x.
answer (round to 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify the trigonometric ratio

We use tangent since $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$, and here $\theta = 55^{\circ}$, opposite side is $x$ and adjacent side is $14$. So $\tan(55^{\circ})=\frac{x}{14}$.

Step2: Solve for $x$

$x = 14\times\tan(55^{\circ})$. Since $\tan(55^{\circ})\approx1.4281$, then $x=14\times1.4281 = 19.9934\approx19.9$.

Answer:

$x = 19.9$