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What is the value of y?

What is the value of y?-example-1

1 Answer

5 votes

Answer:
y=2√(3)

Explanation:

Apply:


tan\alpha=(opposite)/(adjacent)

Use the length and the angle given in the triangle of the left to calculate the adjacent side (which we will call x) of the triangle of the right:


sin(45)=(x)/(2√(2))\\x={2√(2)*sin(45)\\x=2

Then you must substitute and solve for y:


tan\alpha=(opposite)/(adjacent)


\alpha=60\°\\adjacent=2\\opposite=y


y=2*tan(60)=2√(3)

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