Given right triangle xyz, what is the value of tan(y)? one-half startfraction startroot 3 endroot over 3 endfraction startfraction startroot 3 endroot over 2 endfraction startfraction 2 startroot 3 endroot over 3 endfraction

Step-by-step explanation:

The image attached shows the triangle that models this problem.

Observe that .

The tangent function is defined as:

In this case, we have

But, we don't knot the length of both legs, so we need to find them using other trigonomtric reasons.

Then,

Now we know the length of both legs, we can find the tangent of angle Y

Therefore, the value of tan(Y) is

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.