What is the value of x? Enter your answer, as an exact value, in the box.

x = 4.2

Step-by-step explanation:

To calculate for the value of x, we must first calculate the value of y as shown in the attached photo.

The value of y can be obtained as follow:

Angle θ = 30°

Opposite = y

Hypothenus = 6

Sine θ = Opposite /Hypothenus

Sine 30° = y/6

Cross multiply

y = 6 × Sine 30°

y = 3

Therefore, the value of y is 3.

Now, we can obtain the value of x as follow:

Angle θ = 45°

Adjacent = y = 3

Hypothenus = x

Cos θ = Adjacent /Hypothenus

Cos 45° = 3/x

Cross multiply

x × Cos 45° = 3

Divide both side by Cos 45°

x = 3/Cos 45°

x = 4.2

Therefore, the value of x is 4.2

nada

step-by-step explanation: