Answer:
The value of x is 12.1
Step-by-step explanation:
To find the value of x, we will just apply the formula of trigonometric ratio;
SOH CAH TOA
sin Ф = opposite/ hypotenuse
cos Ф = adjacent / hypotenuse
tan Ф = opposite / adjacent
From the diagram given, since we are working with angle 48 then opposite is 9 and hypotenuse is x
Ф =48° opposite = 9 and hypotenuse = x
The best formula to use is;
sin Ф = opposite/ hypotenuse
sin 48° = [tex]\frac{9}{x}[/tex]
cross-multiply
x sin 48° = 9
Divide both-side by sin 48°
x sin 48° / sin 48° = 9/sin48°
x = 9/sin 48°
=12.11069
x ≈12.1 to the nearest tenth
Therefore the value of x is 12.1