SOLUTION: A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency. Another road opens towards the lake. From the intersection of the two roads to the per

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Question 1146436: A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency. Another road opens towards the lake. From the intersection of the two roads to the periphery of the lake, the length of the new road is 11 miles. If the new road will be prolonged across the lake, find the length of bridge to be constructed.
a. 1.09 miles
​b. 2.09 miles ​ ​ ​
c. 3.09 miles ​
​d. 4.09 miles

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency. Another road opens towards the lake. From the intersection of the two roads to the periphery of the lake, the length of the new road is 11 miles. If the new road will be prolonged across the lake, find the length of bridge to be constructed.
a. 1.09 miles
​b. 2.09 miles ​ ​ ​
c. 3.09 miles ​
​d. 4.09 miles
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Depends on the radius of the lake.