Step 1: Given data:
EI = 5.3m radius
EF = 5.3m radius
HF = FG/2 = 6.8/2 = 3.4m
Step 2: Method
[tex]\begin{gathered} \text{Use pythagoras theorem to find the value of EH} \\ \text{Opposite}^2+Adjacent^2=Hypotenuse^2 \\ \text{Opposite = }3.4\text{ m} \\ \text{Adjacent = EH} \\ \text{Hypotenuse = 5.3} \\ 3.4^2+EH^2=5.3^2 \\ 11.56+EH^2\text{ = 28.09} \\ EH^2\text{ = 28.09 - 11.56} \\ EH^2\text{ = 16.53} \\ EH\text{ = }\sqrt[]{16.53} \\ EH\text{ = 4.06} \end{gathered}[/tex]Step 3: Final answer
EI = EH + IH
5.3 = 4.06 + IH
IH = 5.3 - 4.06
IH = 1.24 m