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

If the ladder extends to a length of 158 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 158 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.

mertsj · Answer

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mertsj · Answer

Use your special right triangle.  First find the short leg which is 1/2 the hypotenuse.  Then multiply the short leg by sqrt3 to find the long leg.

anonymous · Answer

So it would be 15.39?

mertsj · Answer

Half of 158 is 79
Multiply 79 by the square root of 3