A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches. What is the length of the other leg? Round to the nearest tenth.
Answer: If the right triangle has an angle of 30, then the three angles in the triangle must be 30, 60, and 90 degrees. The sides of a 30-60-90 triangle have the ratio 1 : 2: sqrt(3).
The side adjacent to the 30-degree angle is opposite the 60-degree angle, so it has the ratio of sqrt(3). The other leg is opposite the 30-degree angle so it has a ratio of 1.
The length of the leg we want to find is then (1/sqrt(3)) * 25 inches and 25 / sqrt(3) = 14.4 inches, which is the answer.