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.
calculate the value for x.
answer (round to nearest degree): x =

Explanation:

Step1: Identify trig - function

We know $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, opposite side to angle $x$ is $47$ and hypotenuse is $56$, so $\sin x=\frac{47}{56}$.

Step2: Calculate angle

$x = \sin^{- 1}(\frac{47}{56})\approx58^{\circ}$ (rounded to nearest degree).

Answer:

First blank: $\sin$
Second blank: $47$
Third blank: $56$
Fourth blank: $58$