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A balloon is rising vertically from a le...

A balloon is rising vertically from a level field , suppose an on-looker sees it rising at 0.14 rad/min. when `theta=(pi)/(4)` (when the on -looker is 500 m away from the launch spot ), how fast is balloon rising ?

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To solve the problem step by step, we will use the relationship between the angle of elevation, the height of the balloon, and the distance from the onlooker to the launch point. ### Step 1: Understand the Geometry We have a right triangle formed by: - The height of the balloon (let's denote it as \( y \)). - The distance from the onlooker to the launch point, which is constant at 500 m. - The angle of elevation \( \theta \) from the onlooker to the balloon. ...
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