Question 872687
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)