Respuesta :

Answer:

sinΘ = [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex]

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = [tex]\sqrt{625}[/tex] = 25

Thus

sinΘ = [tex]\frac{24}{25}[/tex]