Triangle x y z is shown. angle x z y is a right angle. angle z x y is 60 degrees and angle x y z is 30 degrees. the length of hypotenuse x y is 4. 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

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

---> adjacent side divided by the hypotenuse

substitute the values

Remember that

so

substitute

step 2

--> opposite side divided by the hypotenuse

substitute the values

Remember that

so

step 3

--> opposite side divided by adjacent side

substitute the values

Simplify

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

practice. practice. practice.