A hemispherical dome has a diameter of 100 m. A searchlight was placed at point A located at the circumference at the base. At the middle of the dome at B, a balloon was released vertically at a velocity of 4 m/s. How fast (in m/s) is the shadow of the balloon moving along the roof when the balloon is 25 m high?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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A hemispherical dome has a diameter of 100 m. A searchlight was placed at point A located at the circumference at the base. At the middle of the dome at B, a balloon was released vertically at a velocity of 4 m/s. How fast (in m/s) is the shadow of the balloon moving along the roof when the balloon is 25 m high?

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