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Answer :

Answer:

Value of x : [tex]8\sqrt{3}[/tex] or 13.86

Value of y : 16

Step-by-step explanation:

You can use trigonometric functions to find the values of x and y.

For x:

-Tangent is the one for x, so you can use:

tan(θ)=opposite/adjacent

-Plug the values in to get

tan(60)=x/8

x=8×tan(60)

x=[tex]8\sqrt{3}[/tex] or 13.86

For y:

For y we can either use trigonometric functions or the pythagorean theorem.

[tex]a^{2} = b^{2} + c^{2}[/tex]

[tex]y^{2} = 13.86^{2} + 8^{2}[/tex]

[tex]y^{2} =256.1\\[/tex]

y is around 16