SOLUTION: A street composed of two lanes each 14ft wide runs through a semi-circular arch with a radius of 16ft. What is the height of the arch at the edge of each lane?

Question 1166063: A street composed of two lanes each 14ft wide runs through a semi-circular arch with a radius of 16ft. What is the height of the arch at the edge of each lane?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
To calculate the height at the intersection point, we form a right
triangle with base equal to 14 ft and hypotenuse equal to 16 ft.
By the Pythagorean theorem, the height, h = sqrt(16^2 - 14^2).
Thus h = sqrt(60) ~7.746.
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