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Question 6 Previous Question 6 For AYES, MZS = 90°, mZE = 30°, and SE = 78. (Draw a picture to help.) F PLE What is the exact value of EY? IG TBT li Answer А F i 26V3

Question 6 Previous Question 6 For AYES MZS 90 mZE 30 and SE 78 Draw a picture to help F PLE What is the exact value of EY IG TBT li Answer А F i 26V3 class=

Respuesta :

Draw the triangle with required dimension.

Determine the length of side EY by using the trigonometry.

[tex]\begin{gathered} \cos 30=\frac{ES}{EY} \\ \frac{\sqrt[]{3}}{2}=\frac{78}{EY} \\ EY=78\cdot\frac{2}{\sqrt[]{3}} \\ =26\cdot3\cdot\frac{2}{\sqrt[]{3}} \\ =52\sqrt[]{3} \end{gathered}[/tex]

Thus option B is correct.

Ver imagen CodeyQ172630

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