Answer: B) The value of x is 30°
Step-by-step explanation:
As shown in figure it is a right angle triangle where
Hypotenuse = 20 ft
Perpendicular = 10 ft
corresponding to the angle x
As we know trigonometric ratios
[tex]\sin \theta = \dfrac{\text {Perpendicular }}{\text {Hypotenuse} }[/tex]
Substituting the values we get
[tex]\sin x = \dfrac{10}{20} =\dfrac{1}{2}[/tex]
[tex]\sin x = \sin 30^\circ[/tex]
Now as we know if [tex]\sin A = \sin B \Rightarrow A= B[/tex]
We get
[tex]x= 30^\circ[/tex]
Hence, the value of x is 30°
