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

Algebra.Com
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)   (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
=========================
Depends on the radius of the lake.

RELATED QUESTIONS

A road is tangent to a circular lake. Along the road and 12 miles from the point of... (answered by greenestamps)
Town A is 9 miles from town B, and 12 miles from town C. A road connects towns B and C... (answered by solver91311,richwmiller)
a car travels along an inclined road, in the desert, at 45 mph for 6 hours, from point a... (answered by Alan3354)
A forest ranger is in a forest 2 miles from a straight road. A car is located c miles... (answered by josgarithmetic)
Along a road, spot X and spot Y are 1150m apart. Ann walks along the road from X to Y at... (answered by josgarithmetic)
An existing road passing along the circumference of the circular lake. A proposed bridge... (answered by ikleyn)
A van full of storm chasers is driving along a straight road at 61 miles per hour in... (answered by ankor@dixie-net.com)
A certain large city has a circular road around the city and a road directly through... (answered by richwmiller)
There is a 1 m wide road. Two turtles start to crawl down the road from opposite... (answered by greenestamps)