right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle…
right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.\ncalculate the value for x.\nanswer (round to nearest degree): x = □
Answer
Answer:
$14$
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, $x\approx14^{\circ}$.