Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the
angle measures of the two acute angles.
calculate the value for x.
answer (round to nearest degree): x =

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to the angle \(x\) is \(17\) and the hypotenuse is \(24\). So, \(\cos x=\frac{17}{24}\).

Step2: Solve for \(x\)

Take the inverse cosine of \(\frac{17}{24}\). \(x = \cos^{-1}(\frac{17}{24})\). Using a calculator, \(x=\cos^{-1}(0.7083)\approx35^{\circ}\) (rounded to the nearest degree).

Answer:

\(35\)