Respuesta :
It is 3/5, because, sin is opposite over hypotenuse. If you are finding the smallest angle, then opposite would be 3 (the smallest side) over 5 (the hypotenuse)
Answer:
3/5
Step-by-step explanation:
Givens
- The right triangle has side lengths of 3, 4 and 5.
- Angle theta is the smallest angle.
From this information, we can deduct that the hypothenuse is 5 units long, and legs are 3 and 4 units long.
So, if theta is the smallest angle, then
[tex]sin\theta=\frac{3}{5}[/tex]
Because this relation gives the following angle
[tex]\theta = sin^{-1}(\frac{3}{5} )\approx 37\°[/tex]
Which is the smallest angle, because the other one is
[tex]\alpha=sin^{-1}=\frac{4}{5}\approx 53\°[/tex]
Therefore, the right answer the second choice.
