A ladder leans against a house at a 60° angle to the ground.

If the ladder extends to a length of 166 inches, what is the height of the house rounded to the nearest hundredth of an inch? Type the numeric answer only in the box below.

Question

A ladder leans against a house at a 60° angle to the ground. 

 

If the ladder extends to a length of 166 inches, what is the height of the house rounded to the nearest hundredth of an inch? Type the numeric answer only in the box below.

anonymous · Answer

|dw:1351788198459:dw|

radar · Answer

I guess one must assume that the ladder is not only "against" the house, but is at the very top of the house.  I hate assumptions.

anonymous · Answer

ratios of a $30-60-90$ right triangle are $1:\sqrt{3}:2$ for
short side: long side : hypotenuse