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 the 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, $x=\arctan(3.0667)$. Rounding to the nearest degree, $x\approx72^{\circ}$.

Answer:

$72$