SOLUTION: A man has a 90-foot ladder and leans the end of it against an exterior window of a house, The base of the ladder is 45 feet from the house. What is nearest foot of how high it is f

Algebra ->  Pythagorean-theorem -> SOLUTION: A man has a 90-foot ladder and leans the end of it against an exterior window of a house, The base of the ladder is 45 feet from the house. What is nearest foot of how high it is f      Log On


   



Question 872687: A man has a 90-foot ladder and leans the end of it against an exterior window of a house, The base of the ladder is 45 feet from the house. What is nearest foot of how high it is from window to ground?
Answer by indra89811(24) About Me  (Show Source):
You can put this solution on YOUR website!
The ladder leaned against the house indicates the hypotenuse (c)=90
Base=45ft
Let the height=a
Using Pythagorean theorem,
c^2=a^2+b^2
90^2=a^2+45^2
8100=a^2+2025
Subtracting 2025 from both sides,
6075=a^2
Square rooting both sides,
77.9422=a
Hence, the height = 78 feet (To nearest foot)