Find the values of x and y.

x = 4 , y = 8

Step-by-step explanation:

Using the sine ratio in the right triangle on the left and the exact value

sin45° =

let the altitude of the outer triangle be h ( common to both right triangles )

sin45° = = = ( cross- multiply )

2h = 8 ( divide both sides by 2 )

h = 4

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Using the tangent ratio in the right triangle on the right and the exact value

tan30° = , then

tan30° = = = = ( cross- multiply )

x = 4

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Using the sine ratio in the right triangle on the right and the exact value

sin30° = , then

sin30° = = = ( cross- multiply )

y =8

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step-by-step explanation:

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