Question

Solve for x and y, show your work with your answer.​

Answer 1

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.

`tan(32) = (x)/(15)`

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.

`sin(32) = (9.373)/(y)`

We multiply by y on both sides first.

y(sin(32)) = 9.373

Now, we divide each side by sin(32).

`y = (9.373)/(sin(32))`

Put this into a calculator and solve.

y = 17.6877

x = 9.373

y = 17.6877

These are your answers.

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