Friday

March 27, 2015

March 27, 2015

Posted by **dave** on Monday, November 5, 2007 at 10:52pm.

so i drew a small picture depicting it but i'm still confused on what to do. am i basically finding the rate of change?? as in the DR/DT? i need someone to explain this to me, pleaseee! thank you.

- calculus : related rates -
**Reiny**, Tuesday, November 6, 2007 at 1:15amcall the angle of elevation α (alpha)

so what you want to find is dα/dt

from your triangle

tan α = x/30, where x is the height of the balloon

then x = 30 tan α

and dx/dt = 30 (sec^2 α)dα/dt

when x = 30 , α = 45º and sec^2 45º = 2

so 3 = 30(2)dα/dt

and finally

dα/dt = 1/10

when the ballooon is 30 m hight, dα/dt = 1/10 radians/sec

**Answer this Question**

**Related Questions**

differential calculus - ANGLE OF ELEVATION A balloon rises at a rate of 4 meters...

math - A balloon rises at a rate of 3 meters per second from a point on the ...

Calculus ~ Related Rates - A man 2 meters tall walks at the rate of 2 meters per...

Calculus - A balloon rises at the rate of 8 feet per second from a point on the ...

Calc - 2) A hot air balloon rising vertically is being tracked by an observer on...

related rates calculus problem - A balloon is being filled with air at a rate of...

related rate problem - A railroad track and a road cross at a right angle. An ...

Calculus - A balloon leaves the ground 500 feet away from an observer and rises ...

calculus - A rocket rises vertically from a point on the ground that is 100m ...

AP CALCULUS!!! HELPP - related rates: the base of a pyramid-shaped tank is a ...