Given:
The height of the spotlight from the ground is 30 feet.
The distance between the ladder and the house is 16 feet
Let x be the length of the ladder.
Using Pythagorean theorem to find the length of the ladder.
[tex]x^2=30^2+16^2[/tex]
[tex]x^2=900+256[/tex]
[tex]x^2=1156[/tex]
Taking sqaure root on both sides, we get
[tex]x=\sqrt[]{1156}[/tex][tex]x=34[/tex]
Hence the length of the ladder is 34 feet.
