Given right triangle XYZ, what is the value of tan(Y)?

1/2

square root 3 /3

square root 3 /2

2 square root 3 /3

Answer

The value of **tan(Y) **for the given right triangle cannot be determined without additional information, such as the lengths of the sides opposite and adjacent to angle Y.

Explanation

The value of tan(Y) for right triangle XYZ cannot be determined with the information provided. The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle (in this case, Y) to the length of the side adjacent to it. If we knew the values of these sides, we could calculate tan(Y).

To understand this, consider an arbitrary right triangle ABC with angle A as the right angle. If we let the side opposite the angle B (which is AC) be represented as 'a', and the side adjacent to B (which is AB) be represented as 'b', then tan(B) would be equal to 'a/b'. Without these specifics, we cannot compute the value for tan(Y).