SOLUTION: A 15ft ladder is leaning against a buliding. If the bottom of the ladder is 9ft from the base of the building, how high does the ladder reach?
I got 17.49 I'm not sure if it's r
Algebra ->
Surface-area
-> SOLUTION: A 15ft ladder is leaning against a buliding. If the bottom of the ladder is 9ft from the base of the building, how high does the ladder reach?
I got 17.49 I'm not sure if it's r
Log On
Question 34876: A 15ft ladder is leaning against a buliding. If the bottom of the ladder is 9ft from the base of the building, how high does the ladder reach?
I got 17.49 I'm not sure if it's right. Found 2 solutions by stanbon, checkley71:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A 15ft ladder is leaning against a buliding. If the bottom of the ladder is 9ft from the base of the building, how high does the ladder reach?
Draw the picture:
The ladder is the hypotenuse of a right triangle.
The 9 ft. is one of the sides.
Let the height the ladder reaches be "x".
EQUATION:
x^2+9^2=15^2
x^2=144
x=12 ft. (the ladder reaches 12 ft. up the wall)
Cheers,
Stan H.
You can put this solution on YOUR website! THE LADDER CANNOT REACH HIGHER THAN THE LENGTH OF THE LADDER.
THE FORMULA FOR THIS PROBLEM IS BASE~2*HEIGHT~2=LENGTH OF THE LADDER~2
OR 9~2+HEIGHT~2=15~2 OR 81+HEIGHT~2=225 OR HEIGHT~2=225-81 OR HEIGHT~2=144 OR
HEIGHT IS SQRT OF 144 OR HEIGHT=12 FEET
THIS IS A STANDARD 3-4-5 OR A 9-12-15 RIGHT TRIANGLE.