Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
fill in the missing information.
text should be lower case.
sinx° =
calculate the value for x.
answer (round to nearest degree): x =

Explanation:

Step1: Recall sine definition

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$
In the right - triangle, the side opposite angle $X$ is 33 and the hypotenuse is 45. So $\sin X^{\circ}=\frac{33}{45}$.

Step2: Use inverse sine

$X=\sin^{- 1}(\frac{33}{45})$
$X=\sin^{-1}(\frac{11}{15})\approx47^{\circ}$ (rounded to the nearest degree)

Answer:

$\sin X^{\circ}=\frac{33}{45}$
$X = 47$