SOLUTION: a ladder 9m long is placed against a wall 2m away from its base. what is the height reached by the ladder?
find the approximate distance that will be saved by walking diagonally
Algebra.Com
Question 535976: a ladder 9m long is placed against a wall 2m away from its base. what is the height reached by the ladder?
find the approximate distance that will be saved by walking diagonally across a field 450m by 250m instead of walking along the two adjacent sides.
A flagpole is to be made firm. how much wire will be needed if, from 3 pegs, each 120cm away from the foot of the people, wire will be tied to a point on the pole 2and1/2m from the ground?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The ladder,the floor & the wall form a right triangle.
The base is one leg The height is the other leg
The ladder acts as the hypotenuse
Pythagoras theorem
(Hyp)^2= (leg1)^2+ Leg2^2
Hypotenuse = 9 ft
leg1= 2 ft
Leg2= ?
leg2^2=hyp^2-leg1^2
Leg2^2= 9^2-2^2
Leg2^2= 81-4
Leg2^2=77
Leg2=
Leg2= 8.77 ft --- The height it reaches
------------
The sides and the diagonal form a right triangle
The length is one leg & the width is the other leg
One leg 450 m
Second leg 250 m
Hypotenuse x m
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2
x ^2 = 202500 + 62500
x ^2 = 265000
x= 514.78 m
The sum of the sides = 700 m
The diagonal = 514.78 m
The difference= 185.22 m
185.22 m will be saved
------------
The rope forms the hypotenuse of the right triangle
One leg 250 cm
Second leg 120 cm
Hypotenuse x cm
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2
x ^2 = 62500 + 14400
x ^2 = 76900
x= 277.31 cm the length of the rope.
There are 3 ropes . multiply by 3 to get the total length required
m.ananth@hotmail.ca
RELATED QUESTIONS
a ladder 9m long is placed against a wall 2m away from its base. what is the height... (answered by richwmiller)
A 6m ladder is placed against the wall with its base 2m from the wall. How high is the... (answered by josgarithmetic,MathLover1)
The bottom of a 13-foot long ladder is placed 5 feet away from a wall so that the ladder... (answered by checkley71)
a 5m long ladder is placed against wall its foot 1.8m from the wall .find how far up the... (answered by mananth)
a ladder is resting against a vertical wall its base is 1.50m from the base of the wall.... (answered by josgarithmetic)
A 6 ft ladder is placed against a wall its base 2 ft from the wall. How high above the... (answered by Alan3354)
a 6ft ladder is placed against a wall with its base 2-ft from the wall.how far is the... (answered by TimothyLamb)
A ladder 9m long leans against a verical wall. If the foot is r m from the wall, find how (answered by josgarithmetic)
A ladder is leaned 9m up a wall with its base 5 m from the wall. What angle does the... (answered by Alan3354)