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Find the exact value of x.

Find the exact value of x.-example-1

2 Answers

4 votes

Answer: can I see the question?

Explanation:

User Galileo
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3.2k points
2 votes

Answer:

x = 4 sqrt(3)

Explanation:

x is not to be confused by the mark on the right angle -- X

The function is the cosine of Y which is 30 degrees.

The cosine of 30o is sqrt(3)/2

cos(30) = adjacent side / hypotenuse = sqrt(3) / 2

The adjacent side is 6

cos(30) = 6/ x = sqrt(3) / 2

6/x = sqrt(3) / 2 Cross multiply

x * sqrt(3) = 6 * 2

x * sqrt(3) = 12 divide by sqrt(3)

x = 12 / sqrt(3) Multiply top and bottom by sqrt(3)

x = 12* sqrt(3) / sqrt(3) * sqrt(3)

x = 12 sqrt(3)/ 3 Divide by 3

x = 4 sqrt(3)

User Codingmonkey
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3.3k points