A hot air balloon is rising vertically. An observer on the ground is 2000 meters from the point where the balloon took off. The angle between the ground and the observer's line of sight increases at a rate of $\frac { 1 } { 2000 } \mathrm { radian } / \mathrm { s }$ when the balloon reaches a height of 3000 meters. How fast is the balloon rising at that moment?

Question

Quizplus · Accepted Answer

The Answer of A hot air balloon is rising vertically. An observer on the ground is 2000 meters from the point where the balloon took off. The angle between the ground and the observer's line of sight increases at a rate of $\frac { 1 } { 2000 } \mathrm { radian } / \mathrm { s }$ when the balloon reaches a height of 3000 meters. How fast is the balloon rising at that moment?

A Hot Air Balloon Is Rising Vertically 12000radian/s\frac { 1 } { 2000 } \mathrm { radian } / \mathrm { s }20001​radian/s

A Hot Air Balloon Is Rising Vertically $\frac { 1 } { 2000 } \mathrm { radian } / \mathrm { s }$