Will is painting a window in his house that is 5.5 m up one of the walls. If he places a ladder 1.5 m from the bottom of the wall, how long does the ladder need to be to reach the base of the window? Draw a diagram to help you answer. Do NOT include units in your answer.
Answers
Ladder Problems
Contents of this Page
What is a Ladder Problem?
Ladder Wall Problem
Ladder Box Problem
Ladder Corner Problem
Crossing Ladders Problem Sliding Ladder Problems
Ladder Stories
Ladder Problems on the Internet
References
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To the Main Page "Mathematische Basteleien"
What is a Ladder Problem?
A ladder problem is a problem dealing with a ladder.
Two problems are classics, the ladder box problem (drawing) and the crossed ladders problem.
They are special because the problem is simple, but the calculation becomes complicated.
Ladder Wall Problem top
The following problem can be found in a school book in connection to the Pythagorean theorem.
...... 1st Problem:
A ladder c=7m long leans against a wall with the base d=1.4 m from the wall at the base. At which height does the ladder touch the wall?
Solution: There is c²=h²+d² and hence h=sqrt(c²-d²)=sqrt(7²-1.4²)m=6.9m
Result: The ladder touches the wall at 6.9m.
When the cosinus function is introduced, you can find the angle of inclination.
There is cos(alpha)=d/c. Then you get alpha=arc cos (d/c)=arc cos (1.4/7)=78.5°
Answer:
I hope the above pic helps you
Step-by-step explanation:
Will is painting a window in his house that is 5.5 m up one of the walls. If he places a ladder 1.5 m from the bottom of the wall, how long does the ladder need to be to reach the base of the window? Draw a diagram to help you answer
