Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Question

Right triangle with hypotenuse labeled 11 and one leg labeled x. The angle between the leg labeled x and the hypotenuse is equal to 22 degrees.

Answer 1

Using trigonometry, we can set up the equation:

sin(22°) = x/11

Multiplying both sides by 11, we get:

x = 11*sin(22°)

Using a calculator, we find:

x ≈ 4.2

Therefore, the value of x rounded to the nearest tenth is 4.2.