given that △ABC is a right triangle with <A=90 degree, <B=25 degrees, and BC=5 inches, which of the following correctly uses the since ratio to find the length of /AC
To find the length of AC, we can use the sine ratio. The sine ratio is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In this case, the angle B is opposite to side BC, and the hypotenuse is AC. So, the sine ratio can be written as:
sin(B) = BC/AC
Plugging in the given values, we have:
sin(25 degrees) = 5/AC
Now, to solve for AC, we can rearrange the equation:
AC = 5 / sin(25 degrees)
Therefore, the correct option to find the length of AC using the sine ratio is:
AC = 5 / sin(25 degrees)