To find the value of x, we need to use trigonometric ratios, specifically the sine ratio (sin).
sin = opposite/hypotenuse
In a right triangle, the hypotenuse is the longest side, which in this case is 17. The side opposite the angle we are interested in is 13. Therefore, we can set up an equation:
sin(x) = 13/17
To solve for x, we can take the inverse sine (sin^-1) of both sides:
x = sin^-1(13/17)
Using a calculator, we can find that x is approximately 51 degrees (rounded to the nearest degree). Therefore, the value of x in the 17-13 right triangle is 51 degrees.
Find the value of x using trigonometric ratios. Round your answer to the nearest degree
17-13 right triangle
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