Answer:
Height of summit = 4300 ft
Explanation:
Let the height of summit be h.
After 3 hours, he is 2500 feet from the summit,
Height traveled = (h - 2500)
Time taken = 3 hours
Speed = (h-2500)/3
After 5 hours, he is 1300 feet from the summit
Height traveled = (h - 1300)
Time taken = 5 hours
Speed = (h-1300)/5
Here speed is same, so we have
[tex]\frac{h-2500}{3} =\frac{h-1300}{5}\\ \\ h-2500=0.6(h-1300)\\ \\ h-0.6h=2500-0.6*1300\\ \\ h=4300ft[/tex]
Height of summit = 4300 ft
