Question

In: Math

if a ladder is 9 m long and 6.83 extended how far does the base have...

if a ladder is 9 m long and 6.83 extended how far does the base have to be

Solutions

Expert Solution

Answer:

Explanation: The length of the ladder, the extended length and the distance of base of the ladder to the vertical wall will form a right angled triangle. Hence, one can use the pythagoras theorem,

Here, hypotenuse=length of ladder=9 m,

perpendicular=extended length=6.86 m

and base=?

So, using the formula,

taking square root on both sides

m (Approx).


Related Solutions

A uniform ladder is 16 m long and weighs 240 N. In the figure, the ladder...
A uniform ladder is 16 m long and weighs 240 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 7.0 m above the ground. A horizontal force F→ is applied to the ladder at distance d = 2.8 m from its base (measured along the ladder). If force magnitude F = 46 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are...
A ladder 25 feet long is leaning against the wall of a house. The base of...
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when the base is 15 feet from the wall? Consider the triangle formed by the side of the house, the ladder, and the ground. Find the rate at which the area of the triangle is changing...
What does it mean for the pendulum to have a small angle? How far does the...
What does it mean for the pendulum to have a small angle? How far does the period (T) of the pendulum differ from the linear model that we used to describe the pendulum as a function of initial angle? Note that for this one you will need to measure the period of a single swing of the pendulum. How can you / did you do this?
Has copyright been extended too long? How is it being abused? Does it still serve its...
Has copyright been extended too long? How is it being abused? Does it still serve its original purpose (promoting progress), or has it become a tool to prevent 'unauthorized' voices from being heard? Should software be patentable? Has the trend toward privatization and branding everything in sight gone too far? If so...what might be done? Intellectual Property is all about tradeoffs and competing interests--where should the balance be?
a.)A 9 m ladder whose weight is 417 N is placed against a smooth vertical wall....
a.)A 9 m ladder whose weight is 417 N is placed against a smooth vertical wall. A person whose weight is 846 N stands on the ladder a distance 3.4 m up the ladder. The foot of the ladder rests on the floor 1.98 m from the wall. Calculate the force exerted by the wall. Answer in units of N. b.)Calculate the notmal force exerted by the wall. Answer in units of N.
A 80 kg window cleaner uses a 18 kg ladder that is 5.6 m long. He...
A 80 kg window cleaner uses a 18 kg ladder that is 5.6 m long. He places one end on the ground 2.4 m from a wall, rests the upper end against a cracked window, and climbs the ladder. He is 3.5 m up along the ladder when the window breaks. Neglect friction between the ladder and window and assume that the base of the ladder does not slip. (a) When the window is on the verge of breaking, what...
A uniform ladder 5.30  m long rests against a frictionless, vertical wall with its lower end 3.10  m...
A uniform ladder 5.30  m long rests against a frictionless, vertical wall with its lower end 3.10  m from the wall. The ladder weighs 161  N . The coefficient of static friction between the foot of the ladder and the ground is 0.390. A painter weighing 741  N climbs slowly up the ladder. a)What is the actual size of the frictional force when the painter has climbed 1.0197  m along the ladder? b)How far along the ladder can the painter climb before the ladder starts...
A uniform ladder 5.30  m long rests against a frictionless, vertical wall with its lower end 3.10  m...
A uniform ladder 5.30  m long rests against a frictionless, vertical wall with its lower end 3.10  m from the wall. The ladder weighs 157  N . The coefficient of static friction between the foot of the ladder and the ground is 0.430. A painter weighing 739  N climbs slowly up the ladder. How far along the ladder can the painter climb before the ladder starts to slip?
A heat conducting rod, 1.60 m long, is made of an aluminum section, .9 m long,...
A heat conducting rod, 1.60 m long, is made of an aluminum section, .9 m long, and a copper section, .7 m long. both sections have a cross-sectional area of .0004 m2. the aluminum end and the copper end are maintained at temperatures of 30 degrees celcius and 170 degrees celcius, respectively. the thermal conductivity of aluminum and copper are 205 and 385 W/m*K, respectively. the rate at which heat is conducted in the rod is closest to: 11W 12W...
The 6.50 m long uniform ladder has a mass of 13.0 kg (weight: 130 N). Let...
The 6.50 m long uniform ladder has a mass of 13.0 kg (weight: 130 N). Let µs = 0.25 and µk = 0.20 A)         BEFOREthe person climbs onto the ladder, it is placed against the wall and makes an angle of 59.49° with the floor.  Does the ladder slip?  SHOW WHY/WHY NOT B)         Then the ladder is moved until it makes an angle of 53.13° with the floor.  How far up the ladder can a 40.0 kg (400 N) person climb? C)         For what range of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT