Answer:
379.72 meters
Step-by-step explanation:
At first, the balloon was 300 m away at 25°, so its height can be determined as:
[tex]H_{1} = 300*tg(25)\\H_{1} = 139.89 m[/tex]
After 5 minutes, the balloon was at 60°, so its height can be determined as:
[tex]H_{2} = 300*tg(60)\\H_{1} = 519.61 m[/tex]
To find the distance traveled by the balloon during that period, simply subtract the second height by the first one:
[tex]d= H_{2} -H_{1} \\D= 519.61 - 139.89 \\D=379.72[/tex]
The balloon traveled 379.72 meters in that time.
