# Doral Middle

posted by .

phillip has a 40-foot ladder that is placed 11 feet from a vertical wall. hw far above the ground will the top of the ladder be on the wall, in feet?

• Math -

Pythagorean Theorem:

a^2 + b^2 = c^2

11^2 + b^2 = 40^2
121 + b^2 = 1,600
b^2 = 1,600 - 121
b^2 = 1,479
b = 38.46

## Similar Questions

1. ### 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 …
2. ### math

A ladder leans against a brick wall, The top of the ladder touches the wall 10 feet from the ground. The ladder is 15 feet long. How far does the bottom of the ladder sit from the wall?
3. ### Math- Calculus

A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall?
4. ### Math- Calculus

A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall?
5. ### Math- Calculus

A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall?
6. ### Math- Calculus

A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall?
7. ### math

Marvin has a 27-foot ladder. Safety standards dictate that the base of a 27-foot ladder should be placed 7 feet from a vertical wall. How far above the ground will the top of the ladder be on the wall, in feet?
8. ### Elements of Calc.

A 17 foot ladder is placed against a wall. if the foot of the ladder is pushed toward the wall at 0.5 feet per second, how fast is the top of the ladder rising when the foot is 8 feet from the wall?
9. ### Calculus

The top of a 24 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How fast is the bottom of the ladder sliding along the ground when the bottom of the ladder is 7 feet away from …
10. ### Analytical Geometry

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?

More Similar Questions