A boy released a balloon vertically in the middle of a hemispherical dome at a velocity of 5 m/s. The diameter of the dome is 100 m. A searchlight was placed at the circumference of the dome at the base. How fast is the shadow of the balloon moves along the roof when the balloon is 30 m high? 125/17 m/s 145/17 m/s 32/5 m/s None of the choices 105/17 m/s

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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A boy released a balloon vertically in the middle of a hemispherical dome at a
velocity of 5 m/s. The diameter of the dome is 100 m. A searchlight was placed at
the circumference of the dome at the base. How fast is the shadow of the balloon
moves along the roof when the balloon is 30 m high?
125/17 m/s
145/17 m/s
32/5 m/s
None of the choices
105/17 m/s
Transcribed Image Text:A boy released a balloon vertically in the middle of a hemispherical dome at a velocity of 5 m/s. The diameter of the dome is 100 m. A searchlight was placed at the circumference of the dome at the base. How fast is the shadow of the balloon moves along the roof when the balloon is 30 m high? 125/17 m/s 145/17 m/s 32/5 m/s None of the choices 105/17 m/s
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