Final answer:
In a right triangle with sin θ = 2/5, the length of the side adjacent to the angle θ is √21.
Step-by-step explanation:
In a right triangle, the sine of an angle is equal to the length of the side opposite to the angle divided by the length of the hypotenuse. So, if sin(θ) = 2/5, that means the side opposite the angle θ has a length of 2, and the hypotenuse has a length of 5. We need to find the length of the side adjacent to the angle θ.
Using the Pythagorean theorem, we have:
A2 = 52 - 22 = 25 - 4 = 21
So, the length of the side adjacent to the angle θ is √21.
Therefore, n = 21.