SOLUTION: In a right triangle with vertices labeled P, Q, and R, the hypotenuse, side r, is 117 cm long and sin(P) = 0.65.Calculate the lengths of all unknown sides, to one decimal place, an

Algebra ->  Trigonometry-basics -> SOLUTION: In a right triangle with vertices labeled P, Q, and R, the hypotenuse, side r, is 117 cm long and sin(P) = 0.65.Calculate the lengths of all unknown sides, to one decimal place, an      Log On


   

Question 1024147: In a right triangle with vertices labeled P, Q, and R, the hypotenuse, side r, is 117 cm long and sin(P) = 0.65.Calculate the lengths of all unknown sides, to one decimal place, and the sizes of all unknown angles to the nearest degree.
Answer by Alan3354(69443) About Me  (Show Source):
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In a right triangle with vertices labeled P, Q, and R, the hypotenuse, side r, is 117 cm long and sin(P) = 0.65. Calculate the lengths of all unknown sides, to one decimal place, and the sizes of all unknown angles to the nearest degree.
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P = asin(0.65) =~ 41 degs
Q = 90 - P =~ 49 degs
R = 90 degs
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p = r*sin(P) = 76.1 cm
q = r*sin(Q) = 88.9 cm