Given diagram is modified by naming points and drawing additioonal lines. \ \

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From figure \ \

Radius = OA = OB = OD = 2.5 m \ \

AC = BC = AB/2 = 2.4/2 = 1.2m \ \

From Right angled triangle OAC \ \

From Pythagorean Theorem OA² = OC² + AC² \ \

2.5² = OC² + 1.2² \ \

6.25 = OC² + 1.44 \ \

OC² = 6.25 - 1.44 = 4.81 \ \

OC² =  √4.81 \ \

OC =  2.193 \ \

Height of the tunnel = OC + OD \ \

= 2.193 + 2.5 \ \

= 4.693 m \ \

Solution : \ \

Height of the tunnel = 4.693 m \ \