If a central angle is very small, there is little difference in the length between an arc and the inscribed chord. See the figure to the right. Assume that the mast of a boat is 42.0 ft high. If it subtends an angle of 2°11', how far away is it? (Note: When a central angle intercepts an arc, the arc is said to subtend the angle.) Are Inseribed chord

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
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If a central angle is very small, there is little difference in the length between an arc and the inscribed chord. See the figure to the right. Assume that the mast of a boat is 42.0 ft high. If it subtends an angle
of 2°11', how far away is it? (Note: When a central angle intercepts an arc, the arc is said to subtend the angle.)
Are
Inseribed chord
The mast is ft away.
(Do not round until the final answer. Then round to the nearest foot as needed.)
Transcribed Image Text:If a central angle is very small, there is little difference in the length between an arc and the inscribed chord. See the figure to the right. Assume that the mast of a boat is 42.0 ft high. If it subtends an angle of 2°11', how far away is it? (Note: When a central angle intercepts an arc, the arc is said to subtend the angle.) Are Inseribed chord The mast is ft away. (Do not round until the final answer. Then round to the nearest foot as needed.)
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