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10 August, 02:23

Find the measure of angle x. Round your answer to the nearest hundredth. A right triangle is shown with one leg measuring 8 and the hypotenuse is labeled 17. An angle that is not 90 degrees is marked x.

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  1. 10 August, 02:26
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    The answer is 28.07 or 61.93. The hypotenuse (17) is across the right angle. Let x is across one leg (8) : sin (90) / 17 = sin (x) / 8. 1/17 = sin (x) / 8. sinx = 8/17. x = sin-1 (8/17) = 28.07. If x is across the other leg, then x = 90 - 28.1 = 61.93
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