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 the trigonometric ratio

We know the adjacent side ($a = 20$) and the hypotenuse ($c=27$) of the right - triangle with respect to the angle $x$. We use the cosine ratio $\cos(x)=\frac{a}{c}$. So $\cos(x)=\frac{20}{27}$.

Step2: Find the angle $x$

We know that $x = \cos^{- 1}(\frac{20}{27})$. Using a calculator, $x=\cos^{-1}(\frac{20}{27})\approx42.8^{\circ}$. Rounding to the nearest degree, $x\approx43^{\circ}$.

Answer:

$x = 43$