Respuesta :

Answer:

x ≈ 38.7°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )

Answer: 38.6 degrees

Step-by-step explanation:

Hi!

Imagine X = Theta

Cos of theta = adjacent side / hypothenuse

Hypothenuse = 8^2 + 10^2 = 64 + 100 = 164^2

Hypothenuse = 12.8

Because we want to find an angle and not a side, we have to use the function of cos to the -1.

Cos of theta to the -1 = 10/12.8

Theta = 38.6 degrees.

X = 38.6 degrees

And as a bonus, you can calculate y by dividing 30 and 90 to 180 degrees.

So, Y = 180-38.6-90 = 51.4 degrees