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: Recall cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $x$, the adjacent side is $17$ and the hypotenuse is $21$. So, $\cos x=\frac{17}{21}$.

Step2: Calculate the angle $x$

We know that $x = \cos^{-1}(\frac{17}{21})$. Using a calculator, $x=\cos^{-1}(\frac{17}{21})\approx35.26^{\circ}$. Rounding to the nearest degree, $x\approx35^{\circ}$.

Answer:

For $\cos x=\frac{17}{21}$, $x = 35^{\circ}$