SOLUTION: Sketch a right triangle corresponding to sin(theta)=5/6 Use Pythagorean Theorem to determine the third side and then find the tan(theta). Thank you so much!!

Algebra ->  Triangles -> SOLUTION: Sketch a right triangle corresponding to sin(theta)=5/6 Use Pythagorean Theorem to determine the third side and then find the tan(theta). Thank you so much!!      Log On


   



Question 768864: Sketch a right triangle corresponding to
sin(theta)=5/6
Use Pythagorean Theorem to determine the third side and then find the
tan(theta).
Thank you so much!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch a right triangle corresponding to
sin(theta)=5/6
Use Pythagorean Theorem to determine the third side and then find the
tan(theta).
------
sin = y/r
So, y = 5 and r = 6
-----
Therefore x = sqrt[6^2-5^2] = sqrt(11)
----
Ans: tan = y/x = 5/sqrt(11) = (5/11)sqrt(11)
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Cheers,
Stan H.