Eva brick makes and sells her own cranberry apple

Ответ:

bobbiemaye6793

20.06.2020

The value of tan(Y) is

$\frac{1}{\sqrt{3} }$

Step-by-step explanation:

The image attached shows the triangle that models this problem.

Observe that $\angle Y = 30\°$ .

The tangent function is defined as: $tan\theta=\frac{Opposite \ Leg}{Adjacent \ Leg}$

In this case, we have

$tan (\angle Y)=\frac{XZ}{YZ}$

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

$cos(\angle Y)=\frac{ZY}{4}\\ ZY=4 \times cos (30\°)\\ZY=4\frac{\sqrt{3} }{2}\\ ZY=2\sqrt{3}$

Then,

$sin(\angle Y)=\frac{XZ}{4}\\ XZ=4 \times sin(30\°)\\XZ=4 \times \frac{1}{2}\\ XZ=2$

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

$tan(30\°)=\frac{2}{2\sqrt{3} } \\\frac{1}{\sqrt{3} }= \frac{1}{\sqrt{3} }$

Therefore, the value of tan(Y) is $\frac{1}{\sqrt{3} }$

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

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