We can draw this situation as:
We can find h, the height of the balloon, by using the trigonometric ratio that tells us that the sine of an angle in a right triangle is equal to the ratio between its opposite side and the hypotenuse.
We can write this as:
[tex]\begin{gathered} \sin (60\degree)=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{h}{200} \\ h=200\cdot\sin (60\degree)\approx200\cdot0.866\approx173 \end{gathered}[/tex]
Answer: the height of the balloon is 173 m.
