Final answer:
Assuming the 190.5 meters is Jack's elevation and represents 62% of the mountain's height, by dividing 190.5 by 0.62, we find that the mountain is approximately 307 meters tall when rounded to the nearest whole meter.
Step-by-step explanation:
The student's question appears to contain a typo or error, as it's highly unlikely that Jack could long jump 190.5 meters up a mountain. Assuming the 190.5 meters is actually referring to the height Jack has achieved on the mountain, which is 62% of the total height of the mountain, we can calculate the full height of the mountain. We can set up the equation where 190.5 meters equals 62% of the mountain's height:
190.5 = 0.62 × total height
To find the total height, we divide 190.5 by 0.62:
total height = 190.5 / 0.62
total height ≈ 307.26 meters
Rounded to the nearest whole meter, the mountain is approximately 307 meters tall.