Posted by **Maria ** on Sunday, October 10, 2010 at 3:10pm.

A 26 foot step ladder is leaned up against a 30 foot building to reach a window near the top. The ladder is being pushed toward the building in a horizontal direction of 2 feet per second.

1. Find each related rate when the ladder is 10 feet away from the building.

a. How fast is the distance between the top of the ladder and the top of the building shrinking?

b. How fast is the angle of elevation created between the ladder and the ground changing?

c. What is the rate of change of the area of of the triangle formed between the ladder, the building, and the ground?

## Answer This Question

## Related Questions

- college algebra - A contractor leans a 23-foot ladder against a building. The ...
- Calculus - a 16 foot ladder is leaning against a building. the bottom of the ...
- geometry - A 24 foot ladder forms a 76 degree angle with the ground. The top of ...
- Calculus - a 12 foot ladder is leaning against a building. If the bottom of the ...
- geometry - A painter leans a 20-ft ladder against a building. The base of the ...
- Calculus - a 14 foot ladder is leaning against a building. If the bottom of the ...
- Pre-Calculus Algebra - A building is 2 ft from a 9-ft fence that surrounds the ...
- geometry - A 7-foot ladder is leaned against a building in such a way that the ...
- Trig - A 24-foot ladder is placed against a building. The building is ...
- Algebra - a ladder is leaned against a building. the bottom of the ladder is 9 ...

More Related Questions