Answer:
The new altitude of the hot air balloon is 67 m.
Step-by-step explanation:
To find the final altitude of the hot air we need to add every altitude as follows:
1. A hot air balloon ascended to a height of 35 meters 2 minutes after launch
[tex] H_{1} = 35 m [/tex]
2. The balloon altitude began to change by-3 meters every minute for 9 minutes:
[tex] H_{2} = \frac{3 m}{min}*9 min = 27 m [/tex]
3. The hot air balloon flew up by 5 meters:
[tex] H_{3} = 5 m [/tex]
Hence, the total altitude is:
[tex] H_{T} = H_{1} + H_{2} + H_{3} = 35 m + 27 m + 5 m = 67 m [/tex]
Therefore, the new altitude of the hot air balloon is 67 m.
I hope it helps you!
