2 years ago

An angle is geometric figure that consists of

Mathematics

1 answer:

docker41 [41]2 years ago

6 0

Answer:

the union of two rays that share a common endpoint.

Step-by-step explanation:

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Answer:

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

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

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substitute

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step 2

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substitute the values

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Remember that

$sin(30\°)=\frac{1}{2}$

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step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

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