The solution would be like this for this specific problem:
sin 54 degrees = Height/718.0624
Height = (sin 54 degrees)(718.0624) = 580.9 ft
So the height of the balloon is 580.9 ft. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
Answer: Height of the balloon is 588.23 feet.
Step-by-step explanation:
Since we we have given that
Angle of depression at the landmark to the east of the balloon = 54°
Angle of depression at the landmark to the east of the balloon after travelling 100 feet = 61°
Distance = 100 feet
As we know the formula:
[tex]H=\dfrac{d}{\cot x-\cot y}\\\\H=\dfrac{100}{\cot 54^\circ-\cot 61^\circ}\\\\H=\dfrac{100}{0.72-0.55}\\\\H=\dfrac{100}{0.17}\\\\H=588.23\ feet[/tex]
Hence, Height of the balloon is 588.23 feet.
