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Find the value of x and the value of y.

A. x= 2 root 2, y = 8
B. X= 2, y = 4 root 6
C. X = 2 root 2, y=2 root 6
D. X = 2 root 3, y=6 root 3

Find the value of x and the value of y. A. x= 2 root 2, y = 8 B. X= 2, y = 4 root-example-1
User Tomjn
by
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1 Answer

6 votes

Answer:

Option C.


x=2√(2)


y=2√(6)

Explanation:

step 1

Find the value of x

In the right triangle of the figure


sin(30\°)=(x)/(4√(2)) -----> opposite side angle of 30 degrees divided by the hypotenuse

Remember that


sin(30\°)=(1)/(2)

so


(1)/(2)=(x)/(4√(2))


x=(4√(2))/(2)


x=2√(2)

step 2

Find the value of y

In the right triangle of the figure


cos(30\°)=(y)/(4√(2)) -----> adjacent side angle of 30 degrees divided by the hypotenuse

Remember that


cos(30\°)=(√(3))/(2)

so


(√(3))/(2)=(y)/(4√(2))


y=(4√(6))/(2)


y=2√(6)

User Roloc
by
8.4k points

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