# calculus

A ladder 14 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to \theta when \theta = \pi / 3?

1. 👍 0
2. 👎 0
3. 👁 132
asked by peter
1. X = 14 sin theta
dX/d(theta) = 14 cos theta
when theta = pi/3, cos theta = 1/2
Therefore the answer is 7 feet per radian

1. 👍 0
2. 👎 0
posted by drwls

## Similar Questions

1. ### Math

A ladder 20 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away

asked by Jennifer on April 28, 2010
2. ### Math

A ladder 20 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away

asked by Jennifer on April 28, 2010
3. ### Calculus Ladder Problem

A ladder 20 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away

asked by Jennifer on April 28, 2010
4. ### math

A ladder 14 ft long rests against a vertical wall. Let \theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away

asked by peter on May 3, 2010
5. ### college

A ladder 10 feet long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2 ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is /4

asked by Emilia on November 30, 2010
6. ### calculus

A ladder 10 ft long rests against a vertical wall. let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from

asked by Sasha on October 7, 2010
7. ### math

A ladder 10 ft long rests against a vertical wall. let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from

asked by Sasha on October 7, 2010
8. ### physics

A uniform ladder of length L rests against a smooth, vertical wall as shown in the figure below. If the mass of the ladder is m and the coefficient of static friction between the ladder and the ground is muks=0.4, ﬁnd the

asked by joy on April 22, 2018
9. ### Calculus 1

Related Rates: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.9 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the

asked by TayB on October 8, 2015
10. ### Calculus 1

A ladder 10ft long rests against a vertical wall. If the bottom on the ladder slides away from the wall at 2 ft/s, how fast is the angle ladder makes with the ground changing when the bottom of the ladder is 5 ft from the wall.

asked by Tina P on December 7, 2010

More Similar Questions