Answer: [tex]\dfrac{7}{69}[/tex] of height has been increased in second jump from the first jump.
Step-by-step explanation:
In first meet, height of best jump = 414 feet
In second meet, height of best jump = 456 feet
Increase in height = 456 feet - 414 feet
= 42 feet
The fraction of increased in height = [tex]\dfrac{\text{Change in height}}{\text{previous height}}[/tex]
[tex]=\dfrac{42}{414}\\\\=\dfrac{7}{69}[/tex]
Hence, [tex]\dfrac{7}{69}[/tex] of height has been increased in second jump from the first jump.