SOLUTION: A 30 foot ladder leaning up againist a building makes an angle of 30 degrees with the building. How high up the wall is the ladder from the ground?

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the ladder, building, and ground form a 30-60-90 triangle (90 where the ground meets the building)

the ladder is the hypotenuse, so the distance up the wall to where the ladder touches is ((30/2)sqrt(3))

the horizontal distance from the base of the ladder to the wall is 30/2