SOLUTION: The length of the two legs of a right triangle are 6 and 11. Find the measure of the smallest angle (to the nearest tenth of a degree) in the triangle.

Algebra ->  Triangles -> SOLUTION: The length of the two legs of a right triangle are 6 and 11. Find the measure of the smallest angle (to the nearest tenth of a degree) in the triangle.      Log On


   

Question 727838: The length of the two legs of a right triangle are 6 and 11. Find the measure of the smallest angle (to the nearest tenth of a degree) in the triangle.
Answer by josgarithmetic(39613) About Me  (Show Source):
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We can visualize the smallest angle at the left and the right anlge to the right, and above it is the other, not-sharpest angle. From left to right is the longer leg, and at the right is the shorter leg. Use the tangent function. Tangent of the sharper angel is 6/11. Arctan%286%2F11%29=28.6 degrees.