What is the value of y?

Question

asked Jun 24, 2020 108k views

1 Answer

Tatjana · Answer 1 · 2020-07-01T08:26:54+0000

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)