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Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangle is shown with one leg measuring 8, and the hypotenuse is labeled 17. An angle across from the leg measuring 8 is marked x degrees.

Respuesta :

Answer: 15.00°

Step-by-step explanation:

This is a Pythagorean triple (8, 15, 17), so the missing leg measures 15. Using the inverse sine function (asin or arcsin), we get:

asin(15 / 17) ≈ 59.04°

Since the triangle is a right triangle, the other angle must be 90 - 59.04 ≈ 30.96°. Rounding to the nearest hundredth gives the answer: 15.00°.

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