Respuesta :

Given:

Right triangle

θ = 60°

To find:

sin 60°

Solution:

The reference image is attached below.

The given triangle is a right triangle.

θ = 60°

Using basic trigonometric ratio formula:

[tex]$\sin \theta = \frac{\text{Opposite side to } \theta} {\text{Hypotenuse}}[/tex]

[tex]$\sin 60^\circ = \frac{\text{Opposite side to } 60^\circ} {\text{Hypotenuse}}[/tex]

[tex]$\sin 60^\circ = \frac{BC}{AC}[/tex]

The value of sin 60° = [tex]\frac{\sqrt{3} }{2}[/tex].

[tex]$\frac{\sqrt{3} }{2} = \frac{BC}{AC}[/tex]

In the given figure, the values of adjacent side, opposite side and hypotenuse are not given.