Question

What is the value of y?

Answer 1

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)`