Answer:
35 and 7/12 feet is the combined height of the two records.
Step-by-step explanation:
Height of the indoor pool vault record for men = 20 and 1/6 ft =[tex]\frac{121}{6} ft[/tex]
Height of indoor pool vault record for women = 15and 5/12 ft =[tex]\frac{185}{12} ft[/tex]
The combined height of the two records :
[tex]\frac{121}{6} ft+\frac{185}{12} ft[/tex]
[tex]\frac{121\times 2}{6\times 2} ft+\frac{185}{12} ft[/tex]
[tex]\frac{242}{12} ft+\frac{185}{12} ft[/tex]
[tex]\frac{242+185}{12} ft=\frac{427}{12}=35\frac{7}{12}[/tex]
35 and 7/12 feet is the combined height of the two records.