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Answer and Step-by-step explanation:
This problem involves the use of trigonometric functions.
First, we will use the tangent trig function, and then the sine trig function.
[tex]tan(32) = \frac{x}{15}[/tex]
We solve for x by multiplying both sides by 15.
15(tan(32)) = x
Put this into a calculator and solve.
x = 9.373
Now, we solve for y.
[tex]sin(32) = \frac{9.373}{y}[/tex]
We multiply by y on both sides first.
y(sin(32)) = 9.373
Now, we divide each side by sin(32).
[tex]y = \frac{9.373}{sin(32)}[/tex]
Put this into a calculator and solve.
y = 17.6877
x = 9.373
y = 17.6877
These are your answers.
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