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Solve for x, y, and z. Thank you for your help.
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High School Teacher
(x) We have a right triangle with x one of the acute angles. The leg opposite x is 28 and the leg adjacent to x is 45.
We know the trigonometric relationship `tanalpha="opp"/"adj"` for the acute angles of a right triangle.
`tanx=28/45` To "undo" taking the tangent we take the inverse tangent (or arctangent).
(y) and (z) are acute angles of a right triangle. The leg opposite z (and adjacent to y) is 77 while the hypotenuse is 85.
`sinz="opp"/"hyp"=77/85` so `z=sin^(-1)(77/85)~~64.94238458`
`cosy="adj"/"hyp"=77/85` so `y=cos^(-1)(77/85)~~25.05761542`
Posted by embizze on August 2, 2013 at 1:35 AM (Answer #1)
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