Respuesta :

sin A=(opposite leg)/hypotenuse= 3/5=0.6
For angle A , opposite leg is BC=3
Hypotenuse = 5

Answer: The value of sin∠A = 36.86°.

Step-by-step explanation:

Since we have given that

AB = 5 units

AC = 4 units

BC = 3 units

So, we need to find the sine ∠A.

As we know the formula for "Sine":

[tex]\sin A=\dfrac{Opposite}{Adjacent}\\\\\sin A=\dfrac{BC}{AB}\\\\\sin A=\dfrac{3}{5}\\\\\sin A=0.6\\\\A=\sin^{-1}((0.6)\\\\A=36.86^\circ[/tex]

Hence, sin∠A = 36.86°.