Given right triangle xyz, what is the value of tan(y)?

a. 1/2
b. √3/3
c. √3/2
d. 2√3/3

OPTION B

Step-by-step explanation:

You must find the value of XZ as following:

You must calculate the value of YZ as following:

Now, you can calculate the value of tan(Y), then you obtain:

When you rationalized the expresion, you obtain:

Option B.  √3/3

Step-by-step explanation:

In a right triangle, the angles are in the ratio,

30° , 60° and 90° then their sides are in the ratio, 1 : √3 : 2

To find the sides XZ and ZY

<Y : <X : <Z = 30° : 60° : 90° and XY = 4

Therefore ,

XZ : ZY : XY = 1 :√3 : 2 = 2 : 2√3 : 4

To find tan(Y)

tan(y) = Opposite side /Adjacent side

tan(y) = XZ/ZY = 2/2√3 = 1/√3 = √3/3

tan(y) = √3/3

Therefore the correct answer is Option B. √3/3

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230