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.
cosx = \frac{square}{square}
calculate the value for x.
answer (round to nearest degree): x = square

Explanation:

Step1: Recall cosine formula

$\cos(X)=\frac{\text{adjacent}}{\text{hypotenuse}}$
In the right - triangle, the adjacent side to angle $X$ is $17$ and the hypotenuse is $21$. So $\cos(X)=\frac{17}{21}$.

Step2: Use inverse cosine to find $X$

$X = \cos^{-1}(\frac{17}{21})$
$X=\cos^{-1}(\frac{17}{21})\approx36^{\circ}$ (rounded to the nearest degree)

Answer:

1. $\frac{17}{21}$
2. $36$