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 = □

Explanation:

Step1: Identify the trigonometric ratio

We use tangent as $\tan(x)=\frac{opposite}{adjacent}$. Here, opposite = 12, adjacent = 48. So $\tan(x)=\frac{12}{48}$.

Step2: Simplify the ratio

$\tan(x)=\frac{12}{48}=\frac{1}{4}$.

Step3: Find the angle

$x = \arctan(\frac{1}{4})$. Using a calculator, $x\approx14.04^{\circ}$. Rounding to the nearest degree gives $x = 14^{\circ}$.

Answer:

$14$