Answer: 60°
Step-by-step explanation:
This is a right triangle, so we can use the trigonometric functions. We are given an angle (θ°), the opposite side from this angle ([tex]7\sqrt{3}[/tex] cm), and the hypotenuse (14 cm). This will use the sine function.
Sine function:
[tex]sin\theta=\dfrac{opposite}{hypotenuse}[/tex]
Substitute known values:
[tex]sin\theta=\dfrac{7\sqrt{3} }{14}[/tex]
Multiply both sides of the equation by the inverse of the sine function:
[tex]sin^{-1}*(sin\theta)=(\dfrac{7\sqrt{3} }{14})*sin^{-1}[/tex]
Simplify:
[tex]\theta=sin^{-1}(\dfrac{7\sqrt{3} }{14})[/tex]
Compute:
[tex]\theta= 60\°[/tex]
