Find the values of x and y

x = 29.44

y = 34

Step-by-step explanation:

For this problem, we will simply use trigonometry to find the values of y and x for the given triangle.

The two trigonometric functions we will use are tangent and sine.

The general form for tangent is:

tan (Θ) = opposite / adjacent

The general form for sine is:

sin (Θ) = opposite / hypotenuse

For our given triangle, let's solve for x.

tan (30) = 17 / x

x * tan(30) = (17 / x) * x

x tan(30) = 17

x tan(30) * ( 1 / tan(30) ) = 17 * ( 1 / tan(30) )

x = 17 / tan(30)

x = 29.44

Now, let's solve for y.

sin (30) = 17 / y

y * sin(30) = (17 / y ) * y

y sin (30) = 17

y sin (30) * ( 1 / sin(30) ) = 17 * ( 1 / sin(30) )

y = 17 / sin(30)

y = 34

Hence, the values of x and y in our triangle are as follows:

x = 29.44

y = 34

Cheers.

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