Answer:
182 feet
Step-by-step explanation:
The equation that describes the motion of the hot air ballon is:
[tex]h(t) = h_0 - vt[/tex]
where:
[tex]h_0[/tex] is the initial altitude
v is the rate of descend of the balloon
t is the time
The balloon starts from a height of
[tex]h_0 = 362 ft[/tex]
and has a rate of descend of
[tex]v=15 ft/min[/tex]
Therefore, after time
t = 12 min
Its altitude will be
[tex]h(12)=362 - (15)(12)=182 ft[/tex]