Question

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

Answer 1

Draw the triangle with required dimension.

Determine the length of side EY by using the trigonometry.

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

Thus option B is correct.