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25. A road is tangent to a circular lake. Along the road and 10 km from the point of tangency, a new road that opens towards the lake is planned to be constructed. From the intersection of the two roads to the periphery of the lake, the length of the new road is 9 km. Compute the radius of the lake if the angle of intersection between the 2 roads is 30. A. 3 km B. 2.4 m C. 3.5 km D. 2 km

25. A road is tangent to a circular lake. Along the road and 10 km from the point of tangency, a new road that opens towards the lake is planned to be constructed. From the intersection of the two roads to the periphery of the lake, the length of the new road is 9 km. Compute the radius of the lake if the angle of intersection between the 2 roads is 30. A. 3 km B. 2.4 m C. 3.5 km D. 2 km

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 1A: Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On...
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25. A road is tangent to a circular lake. Along the road and 10 km from the point of tangency, a new road that opens towards the lake is planned to be constructed. From the intersection of the two roads to the periphery of the lake, the length of the new road is 9 km. Compute the radius of the lake if the angle of intersection between the 2 roads is 30%. A. 3 km B. 2.4 m C. 3.5 km D. 2 km
Transcribed Image Text:25. A road is tangent to a circular lake. Along the road and 10 km from the point of tangency, a new road that opens towards the lake is planned to be constructed. From the intersection of the two roads to the periphery of the lake, the length of the new road is 9 km. Compute the radius of the lake if the angle of intersection between the 2 roads is 30%. A. 3 km B. 2.4 m C. 3.5 km D. 2 km
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