Question

A balloon is connected to a meteorological ground station by a cable of length $500$m and is inclined at ${60}^o$ to the ground. Find the height of the balloon from the ground assuming no slackness in it.

Answer 1

As the cable is inclined at ${60}^o$ to the ground Hence, We can Assume the cable as Hypotenuse of a Right Angled Triangle Whose base is the ground Height(=H) of the Balloon will be the Height of that Triangle , such that

$H=500\sin {60}^o=500\times \frac{\sqrt{3}}{2}=250\sqrt{3}m$