Posted by **Michael ** on Thursday, December 2, 2010 at 10:08pm.

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 2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 5 ft from the wall? Evaluate your answer numerically. (Round the answer to three decimal places.)

- Related Rates -
**bobpursley**, Thursday, December 2, 2010 at 10:16pm
let x be the horizontal distance from wall to ladder.

cosineTheta=x/10

10 cosTheta=x

-10sinTheta dTheta/dt= dx/dt

so you are looking for dTheta/dt

when x=5, theta = arccos.5, or 60 deg, and sin of 50 = .877

dTheta/dt= dx/dt / (10*.877)

check all that.

- Related Rates -
**Jen**, Sunday, October 11, 2015 at 1:14pm
.228

## Answer This Question

## Related Questions

- Calculus 1 - Related Rates: A ladder 10 ft long rests against a vertical wall. ...
- Math - a ladder 10 ft long rests against a vertical wal. if the bottom of the ...
- Math - A ladder 10 ft long rests against a vertical wall. If the bottom of the ...
- Calculus Ladder Problem - A ladder 20 ft long rests against a vertical wall. Let...
- Calculus 1 - A ladder 10ft long rests against a vertical wall. If the bottom on ...
- Calculus - A ladder 10 ft long rests against a vertical wall. If the bottom on ...
- college - A ladder 10 feet long rests against a vertical wall. If the bottom of ...
- math - A ladder 10 ft long rests against a vertical wall. let θ be the ...
- calculus - A ladder 10 ft long rests against a vertical wall. let θ be the ...
- calculus - A ladder 14 ft long rests against a vertical wall. Let \theta be the ...

More Related Questions