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 nearest degree): x =
ok

Explanation:

Step1: Identify the trig - ratio

We know that $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$. In the right - triangle, the opposite side to angle $x$ is 2 and the adjacent side is 3. So, $\tan(x)=\frac{2}{3}$.

Step2: Solve for $x$

We use the inverse - tangent function. $x = \tan^{- 1}(\frac{2}{3})$.

Step3: Calculate the value

Using a calculator, $\tan^{-1}(\frac{2}{3})\approx33.69^{\circ}$. Rounding to the nearest degree, $x\approx34^{\circ}$.

Answer:

$x\approx34^{\circ}$