SOLUTION: if you have a ladder measuring 20 ft high and the rule of thumb is 4 to 1- meaning for every 4 ft ladder length leaning against a wall, the base must be placed one foot away from t

Algebra.Com
Question 759375: if you have a ladder measuring 20 ft high and the rule of thumb is 4 to 1- meaning for every 4 ft ladder length leaning against a wall, the base must be placed one foot away from the wall. Now suppose the person can reach a height of 3 ft above the ladder, how tall a house can be painted using this ladder?
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Pythagoras.
Ladder represents the hypotenuse
of a right angled triangle.
The base side = 5 (20/4)
To find the height.
hypotenuse^2 = base^2 + height^2
height^2 = hypotenuse^2 - base^2
= 20^2 - 5^2
= 375
height = square root 375
= 19.4 ft
Therefore 19.4ft + 3ft = 22.4ft house can be painted.
Hope this helps.
:-)

RELATED QUESTIONS

A ladder is leaning against a building. The distance from the bottom of the ladder to the (answered by RAY100)
A ladder is leaning against a building. The distance from the bottom of the ladder to the (answered by Fombitz)
A ladder is leaning against a building. The distance from the bottom of the ladder to the (answered by macston)
Ok, I'm not good at word problems and I need a little help if possible. A ladder is... (answered by checkley75)
A ladder is leaning against a building. The distance from the bottom of the ladder to the (answered by stanbon)
A ladder is leaning agains ta building. The distance from the bottom of the ladder to... (answered by lwsshak3)
You have a 15 ft. ladder, if it has to be 2 ft. away for every 5 ft. of ladder length,... (answered by rfer)
A ladder is leaning against a building. The distance from the bottom of the ladder to the (answered by fractalier)
A ladder is leaning against a building. The distance from the bottom of the ladder to the (answered by josgarithmetic,MathTherapy)