Analytical Geometry
posted by Julius
A 10 foot long ladder is leaning against a vertical wall with the top of the ladder 8ft from the ground. What is the slope of the ladder? How far is the foot of the ladder from the wall? Can a 6 foot tall man walk under the ladder 1 foot from the wall? Justify your answer.

Reiny
looks like plain ol' Pythagoras
base^2 + 8^2 = 10^2
bse^2 = 10064 = 36
base = √36 = 6
slope = rise/run = height/base = 8/6 = 4/3
Make a sketch of the situation
Place the 6ft man on the base 3 ft from the base.
Is he below the ladder or did his head hit the ladder?
Prove your conclusion with calculations. 
Anonymous
a soccer game is being televised by a certain tv station. a camera is situated 10 meters away from the longer side of the soccer field and 7 meters from the middle part.
Respond to this Question
Similar Questions

Calculus
related rates: a ladder, 12 feet long, is leaning against a wall. if the foot of the ladder slides away from the wall along level ground,what is the rate of change of the top of the ladder with respect to the distance of the foot of … 
geometry
A ladder leaning against a vertical wall makes a angle of 75degree with the ground. If the foot of the ladder is 4 feet from the base of the wall, would this ladder be long enough for you to retrieve the suction dart that your friend … 
Calculus
a 16 foot ladder is leaning against a building. the bottom of the ladder os sliding along the pavement at 3 ft/s How fast is the top of the ladder moving down when the foot of the ladder is 2 ft from the wall 
physics
A straight ladder is leaning against the wall of a house. The ladder has rails 4.80 m long, joined by rungs 5.100 m long. Its bottom end is on solid but sloping ground so that the top of the ladder is 3.100 m to the left of where it … 
physics
A straight ladder is leaning against the wall of a house. The ladder has rails 4.50 m long, joined by rungs 0.470 m long. Its bottom end is on solid but sloping ground so that the top of the ladder is 0.780 m to the left of where it … 
geometry
a ladder leaning against a vertical wall has its top 8m from the level ground and whose foot is 4m from the wall.how long is the ladder? 
Calculus
a 5m ladder rests against a vertical wall. The top of the ladder begins sliding down the wall at 2m/sec, while the foot of the ladder moves away from the base of the wall. How fast is the foot of the ladder moving away from the wall … 
math
A ladder 10 m long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at 2 m/s. How fast is the top sliding down the wall when the foot of the ladder is 6m from the wall? 
Calculus
A 12ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder away from the wall at the rate of 0.5ft/s. What is the configuration of the ladder at the instant that the vertical speed of the top … 
Geometry
A 12foot ladder is leaning against the outside wall of a building. The angle of the ladder with the ground is 75 degrees. The ladder is moved so that the base of the ladder is 5.8 feet from the wall. Determine the angle created by …