Answer:
x = 4.2
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