What is the height of a right triangle with an angle that measures 60 degrees and a base of 14 adjacent to the 60 degree angle?

Since this is a 30-60-90 right triangle, we know that the sides exist in the proportion 1:3‾√

:2. The shortest side, 1, is opposite the 30 degree angle. Since side X is opposite the 60 degree angle, we know that it is equal to 1∗3‾√

Or about 1.73. Finally, side Y is opposite the right angle, and it is twice the shortest side, or 2.