Tuesday

October 21, 2014

October 21, 2014

Posted by **Anonymous** on Monday, November 5, 2007 at 8:58pm.

Find the rate at which the are of the triangle is changing when the base of the ladder is 7 feet from the wall.

---

I did the Pythagorean to find the other side of the triangle and got 24. But I'm confused...am I looking for the dr/dt OR dv/dt? Or something else?

Help please!

- calculus -
**bobpursley**, Monday, November 5, 2007 at 9:04pmRate at which area is changing, dA/dt

where A= 1/2 b*height

dA/dt= 1/2 b dh/dt + 1/2 h db/dt

- calculus -
**Anonymous**, Monday, November 5, 2007 at 9:24pmWow, thanks for the clarification!

Now I can just plug in b - which is 7 but what about the dh/dt and db/dt? For those unknowns, am I suppose to use the area formula to find it?

- calculus -
- calculus -
**bobpursley**, Monday, November 5, 2007 at 9:42pmNo. You are given db/dt

Using the pyth theorm

c^2= b^2 + h^2

dc/dt=0= 2b db/dt + 2h dh/dt

solve for dh/dt in terms of b,h, db/dt

this is what related rates means.

**Answer this Question**

**Related Questions**

Calc. - A ladder 25ft long is leaning against the wall of a house. The ladder is...

Calculus - A ladder is leaning against the wall of a house.The base of the ...

calculus - A 13 foot ladder leaning against a wall makes an angle of degree ...

AICE math - A 30 foot ladder is leaning against a house(see figure). if the base...

Calculus--Please Help! - A 13-foot ladder is leaning against a vertical wall. If...

College Calculus - A 13-foot ladder is leaning against a vertical wall. If the ...

Calculus - related rates: a ladder, 12 feet long, is leaning against a wall. if ...

Calculus - The top of a 24 foot ladder, leaning against a vertical wall, is ...

Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...

Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...