Answer:
x = 50.05549481°
x ≈ 50.06°
Step-by-step explanation:
The diagram makes a right-angles triangle; therefore we can use trigonometry.
[tex]Sin\frac{Opposite}{Hypotenuse} , Cos\frac{Adjacent}{Hypotenuse} ,Tan\frac{Adjacent}{Opposite}[/tex]
The hypotenuse is the side opposite the right angle - 150
The oppositite is the side opposite the angle in question - 115
The angle in question - x
We will use the formula:
[tex]Sin\frac{Opposite}{Hypotenuse}[/tex]
[tex]Sinx\frac{115}{150}[/tex]
x = 50.05549481°
This is often rounded to 2 decimal places
x ≈ 50.06°
