In a 30-60-90 triangle, the shorter side is represented as
, the hypotenuse as
, and the longer side as
. Since we are given the hypotenuse's length, we can use it to solve for
:
We now have the value of the shorter side, or
in your diagram - 15 units. Next, we can use
to solve for the long side's length:
The length of the longer side,
, is
(approxiamtely 26) units.