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:

Find the diagram attached.

From the right triangle XYZ:

XY is the hypotenuse

XZ and YZ are opposite and adjacent

To get value of tan(Y), we will use the SOH, CAH, TOA, trigonometry identity.

According to TOA:

Tan(Y) = XZ/ZY

First let us get XZ

Using SOH

SinY = opp/hyp = XZ/XY

SinY = XZ/4

Sin30 = XZ/4

XZ = 4sin30

XZ = 4(0.5)

XZ = 2units

Next is to get ZY:

Using Pythagoras theorem:

ZY²+XZ² = XY²

ZY² = XY²-XZ²

ZY² = 4²-2²

ZY²  = 16-4

ZY²  = 12

ZY = √12

ZY = √4*3

ZY = 2√3

Solve for tan(Y):

Since Tan(Y) = XZ/ZY

Tan(Y) = 2/2√3

Tan(Y) = 1/√3

Rationalize

Tan(Y) = 1/√3*√3/√3

Tan(Y) = √3/√9

Tan(Y) = √3/3

Hence the correct option is A. StartFraction StartRoot 3 EndRoot Over 3 EndFraction

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation:

answer: sherk

step-by-step explanation:

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