Respuesta :

gmany

Use cosine.

[tex]cosine={adjacent}{hypotenuse}[/tex]

We have:

adjacent = 9cm and hypotenuse = 17 cm

[tex]\cos x=\dfrac{9}{17}\approx0.5294\to x\approx58^o[/tex]

Answer:

x = 58°

Step-by-step explanation:

In the given right angle triangle we have to find the value of x.

In this triangle one leg is given as 9 cm and hypotenuse is 17 cm.

Since  cos x = [tex]\frac{\text{Adjacent leg}}{Hypotenuse}[/tex]

          cos x = [tex]\frac{9cm}{17}[/tex] = 0.52941

               x = [tex]cos^{-1}[/tex] (0.52941)

                  = 58.03  ≈ 58°

Therefore, x = 58° is the answer.