# SOLUTION: The length of the hypotenuse of a 30-60-90 triangle is 13 meters. Find the length of the opposite side 30 degree angle.

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 Click here to see ALL problems on Triangles Question 320388: The length of the hypotenuse of a 30-60-90 triangle is 13 meters. Find the length of the opposite side 30 degree angle.Answer by CharlesG2(828)   (Show Source): You can put this solution on YOUR website!The length of the hypotenuse of a 30-60-90 triangle is 13 meters. Find the length of the opposite side 30 degree angle. sohcahtoa: sin = opposite(opp)/hypotenuse(hyp), cos = adjacent(adj)/hyp, tan = opp/adj a 30-60-90 triangle is half an equilateral triangle if the equilateral triangle has sides 1,1, and 1 then: sin 30 = 0.5/1 = 0.5 (0.5 is half of 1) cos 30 = adj/1 --> adj = sqrt(3)/2 30-60-90 triangles have the ratio 0.5:sqrt(3)/2:1 as their sides so if the hypotenuse is 13 meters then the side opposite the 30 degree angle is: 13 * 0.5 = 6.5 meters