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 trigonometric ratio

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan x=\frac{12}{48}$.

Step2: Calculate the tangent value

$\tan x=\frac{12}{48}= 0.25$.

Step3: Find the angle

$x = \arctan(0.25)$. Using a calculator, $x\approx14^{\circ}$.

Answer:

$14$