Find the value of x using trigonometric functions. Round your answer to the nearest degree

17-13 right triangle
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1 answer

To solve this problem, we can use the trigonometric function of sine or cosine.

If we use sine, we can write:

sin(x) = opposite/hypotenuse

sin(x) = 13/17

To find the value of x, we need to take the inverse sine (or arcsine) of both sides:

x = sin^(-1)(13/17)

Using a calculator, we get:

x ≈ 52 degrees

Therefore, the value of x to the nearest degree is 52 degrees.