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Please help me with this

Please help me with this-example-1
User Smriti
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1 Answer

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Answer: second option.

Explanation:

By definition, the measure of any interior angle of an equilateral triangle is 60 degrees.

Based in this, we know that the measusre of the angle ∠SRT is:


\angle SRT=(60\°)/(2)=30\°

The, we can find the value of "y":


y+12=30\\y=30-12\\y=18

To find the value of "x", we must use this identity:


cos\alpha=(adjacent)/(hypotenuse)

In this case:


\alpha=30\°\\adjacent=x\\hypotenuse=RU=RS=4

Substituting values and solving for "x", we get:


cos(30\°)=(x)/(4)\\\\4*cos(30\°)=x\\\\x=√(12)

User MrFrenzoid
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