Question #N83
In a right triangle, one acute angle measures 30 degrees. If the length of the hypotenuse is 10, what is the length of the side opposite the 30 degree angle?
A. 2
B. 5
C. 5\sqrt{3}
D. 10\sqrt{3}
Correct Answer is: B
A 30-60-90 triangle has side lengths in the ratio 1 : \sqrt{3} : 2. Since the hypotenuse has length 10, the side opposite the 30 degree angle has length 10 / 2 = 5.