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:
$72$
Explanation:
Step1: Identify trigonometric ratio
We use tangent ratio $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan x=\frac{46}{15}$.
Step2: Calculate the angle
$x = \arctan(\frac{46}{15})$. Using a calculator, $x=\arctan(3.0667)\approx72^{\circ}$.