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 trig - ratio

We know that $\sin x=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, the opposite side to angle $x$ is $50$ and the hypotenuse is $58$. So, $\sin x=\frac{50}{58}$.

Step2: Calculate the angle

$x = \sin^{- 1}(\frac{50}{58})\approx59^{\circ}$ (rounded to the nearest degree).

Answer:

$x\approx59^{\circ}$