Answer: Balloon is 27.5 ft high.
Step-by-step explanation:
As per the give , we made a diagram (in attachment).
To find the vertical distance from the growth we consider entire triangle as right triangle , where height is making right angle with ground.
in right triangle,
[tex]\sin \theta=\dfrac{Hypoteuse}{height}\\\\\Rightarrow\ \sin 79^{\circ}=\dfrac{28}{height}\\\\\Rightarrow\ 0.98162718344=\dfrac{28}{height}\\\\\Rightarrow\ height = 0.98162718344\times28\\\\\Rightarrow\ height = 0.98162718344\times28\approx27.5[/tex]
hence, balloon is 27.5 ft high.
