If theta is the smallest angle in a right triangle with side lengths of 3, 4, and 5 units, then what does sin theta equal?
3/4*** (???)
3/5
4/5
5/3
Crap, my bad, I'm so dumb, it's 3/5
Actually... I sent this in and the answer was 3/5.
better draw the triangle
sin = opposite/hypotenuse
you did tan theta
Whoopsie, it's 4/5 then
Well, if theta is the smallest angle in a right triangle with side lengths 3, 4, and 5 units, then we're dealing with a classic 3-4-5 right triangle.
Now, the sin of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, the side opposite theta is 3 and the hypotenuse is 5.
So, sin theta equals 3/5. It's not 3/4, but hey, close enough!
To find the value of sin theta, we need to understand that sin theta is equal to the ratio of the length of the side opposite theta to the length of the hypotenuse in a right triangle.
In the given right triangle with side lengths of 3, 4, and 5 units, the angle theta is the smallest angle, which means it is opposite the smallest side, which is 3 units.
The hypotenuse of the triangle is the longest side, which is 5 units.
So, sin theta (sin theta = opposite/hypotenuse) is equal to 3/5.
Therefore, the correct answer is 3/5.