A hemispherical dome has a diameter of 100 m. A searchlight was placed at point A located at the circumference of the base. At the middle of the dome at point B, a balloon was released vertically at a velocity of 5 m/s. How fast is the shadow of the balloon moving along the roof when the balloon is 30 m high?

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 79A
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A hemispherical dome has a diameter of 100 m. A searchlight was placed at point A located at the circumference of the base. At the middle of the dome at point B, a balloon was released vertically at a velocity of 5 m/s. How fast is the shadow of the balloon moving along the roof when the balloon is 30 m high? 

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