Answer:
Using the trigonometric function sine, x is 18 (second option)
Step-by-step explanation:
x is the hypotenuse of the right triangle, because is the side opposite to the right angle (angle of 90°):
Hypotenuse: x=?
The given side of 9 is the opposite side to the given angle of 30°
The trigonometric function that relates the opposite side of an angle with the hypotenuse is the sine function:
sin Angle = Opposite side to the Angle / hypotenuse
Replacing the given values:
sin 30° = Opposite side of angle 30° / hypotenuse
sin 30° = 9/x
1/2=9/x
Solving for x: Cross multiplication:
(1)(x)=(2)(9)
x=18
