Question 1156621

A ladder 25 feet long is placed against the side of a building in such a way that it forms a 60 degree angle with the ground.  The top of the ladder will touch the building___ feet from the ground.
<pre>This is a 30-60-90 right triangle in which the LONGER LEG is sought and with the hypotenuse's length (H) known, will be {{{highlight_green(matrix(1,3, H * sqrt(3)/2, "=", 25sqrt(3)/2))}}}
That's IT! 
No need to make this any more complex that it actually is!