Question

The hypotenuse of a 30- 60- 90 triangle has length 15. What is the length of the side opposite the 60 angle?

Answer 1

ratios are \(1:\sqrt{3}:2\) for
short side: long side: hypotenuse

if the hypotenuse is 15, then the long side is \(\frac{15}{\sqrt{3}}\)

Answer 2

the length of the side opposite the 60 angle is \[\sqrt{3}/2\] times of the hypotenuse.
Therefore length of the side opposite the 60 angle is \[\sqrt{3}/2\times15=15\sqrt{3}/2 units\]