SOLUTION: If one leg of a right triangle is 3 times as long as the other leg, what is the measure of the smallest angle in the triangle?

Question 1036002: If one leg of a right triangle is 3 times as long as the other leg, what is the measure of the smallest angle in the triangle?
Found 2 solutions by Aldorozos, stanbon:
Answer by Aldorozos(172) (Show Source): You can put this solution on YOUR website!
If you divide the length of the small side to the length of the long side you get 1/3 = .3333 = Tangent of the angle. Now you have to find the angle that its tangent is .3333.
Go this website: http://www.rapidtables.com/calc/math/Arctan_Calculator.htm
and type .33333 and click calculate to find the angle = 18.4333

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If one leg of a right triangle is 3 times as long as the other leg, what is the measure of the smallest angle in the triangle?
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The angle opposite the smallest leg is the smallest angle.
Let that angle be "s"::
tan(s) = 1/3
s = arctan(1/3) = 18.43 degrees
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Cheers,
Stan H.
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