Question

A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at ${60}^{\circ }$ to the horizontal. Determine the height to the balloon from the ground. There is no slack in cable.

Answer 1

Here A is the position of balloon

Now, in $\Delta$ABC, $\sin {60}^o=\frac{AB}{AC}$

$AB=AC\sin {60}^o$

$=215\times \frac{\sqrt{3}}{2}$

$=186$m

$\Rightarrow$ Height of the balloon from the ground is $186$m.