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 trig - ratio

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 55^{\circ}$, the opposite side to the $55^{\circ}$ angle is $x$ and the adjacent side is 14. So, $\tan55^{\circ}=\frac{x}{14}$.

Step2: Solve for $x$

We know that $\tan55^{\circ}\approx1.4281$. Then $x = 14\times\tan55^{\circ}$. Substituting the value of $\tan55^{\circ}$, we get $x=14\times1.4281 = 20.0$.

Answer:

20.0