Question

find x. round your answer to the nearest tenth of a degree.
x = °

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, the cosine of an angle \(x\) is given by \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(19\) and the hypotenuse is \(25\). So, \(\cos x=\frac{19}{25}\).

Step2: Solve for \(x\)

Take the inverse cosine (arccos) of both sides. \(x = \arccos(\frac{19}{25})\).
Using a calculator, \(\frac{19}{25}=0.76\). Then \(x=\arccos(0.76)\approx40.5^{\circ}\)

Answer:

\(40.5\)