SOLUTION: A street with two lanes, each 10 feet wide, gous through a semicircukar tunnel with raduis 12 feet. How high is the tunnel at the edge of each lane ? Round off to 2 decimal places.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A street with two lanes, each 10 feet wide, gous through a semicircukar tunnel with raduis 12 feet. How high is the tunnel at the edge of each lane ? Round off to 2 decimal places.      Log On


   



Question 1119468: A street with two lanes, each 10 feet wide, gous through a semicircukar tunnel with raduis 12 feet. How high is the tunnel at the edge of each lane ? Round off to 2 decimal places.

Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A street with two lanes, each 10 feet wide, gous through a semicircukar tunnel with raduis 12 feet. How high is the tunnel at the edge of each lane ? Round off to 2 decimal places.
-----------
Put origin at ground level and the center of the semi-circle.
The circle's equation is x%5E2+%2B+y%5E2+=+144
----
Find y when x = -10 or +10.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

.



You can do your own arithmetic. However, rounding the answer to the nearest hundredth is absolutely inappropriate because the given measurements are only precise to the nearest foot. If you express the answer to this question to a precision greater than the least precise given measurement, then the answer is absolutely 100% wrong. You might want to ask your instructor why, if s/he wanted the answer to the nearest 1/100th, that s/he did not specify the radius of the tunnel as 12.00 feet and the width of the roadway as 10.00 feet.


John

My calculator said it, I believe it, that settles it