Respuesta :

The value of x and y in the right angle triangle are 6 units and 10.4 units.

How to find side of a right triangle?

The sides of a right triangle can be found as follows:

using trigonometric ratio,

sin 60 = opposite / hypotenuse

sin 60 = y / 12

cross multiply

y = 12 sin 60

y = 10.3923048454

y = 10.4 units

Therefore,

cos 60 = adjacent / hypotenuse

cos 60 = x / 12

x = 12 cos 60

x = 6 units

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So we conclude that x measures 6 units and y measures 10.39 units.

How to find the value of x and y?

Here we have a right triangle.

x is the adjacent cathetus to the shown angle, and y is the opposite cathetus. We can see that the hypotenuse measures 12.

Then using trigonometric relations we get:

  • y = sin(60°)*12 = 10.39
  • x = cos(60°)*12 = 6

So we conclude that x measures 6 units and y measures 10.39 units.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

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