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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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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