Answer:
1.46m
Step-by-step explanation:
construction ; join EF
we know that EF is a radius, so EF = 5.3m
In triangle EFH,
∡EHF = 90° (EH is the perpendicular bisector of GF)
FH = FG/2 = 7.3m / 2 = 3.65m (EH is the perpendicular bisector of GF)
According to pythagoras theorem,
FH² + EH² = EF²
3.65² + EH² = 5.3²
EH² = 5.3² - 3.65²
EH² = 28.09 - 13.32 = 14.77m
EH = √14.77m
EH = 3.84m
EI is a radius, so EI = 5.3m
IH = EI - EH
= 5.3m - 3.84m
= 1.46m
