(a) An opaque cylindrical tank with an open top has a diameter of 2.80 m and is completely filled with water. When the afternoon sun reaches an angle of 29.5° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank (in m)? m (b) What If? On winter solstice in Honolulu, the sun reaches a maximum altitude of 45.3° above the horizon. What would the depth of the tank have to be (in m) for the sun not to illuminate the bottom of the tank on that day? m

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Chapter1: Units, Trigonometry. And Vectors
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(a) An opaque cylindrical tank with an open top has a diameter of 2.80 m and is completely filled with water. When the afternoon sun reaches an angle of 29.5° above the horizon, sunlight ceases to
illuminate any part of the bottom of the tank. How deep is the tank (in m)?
m
(b) What If? On winter solstice in Honolulu, the sun reaches a maximum altitude of 45.3° above the horizon. What would the depth of the tank have to be (in m) for the sun not to illuminate the
bottom of the tank on that day?
m
Transcribed Image Text:(a) An opaque cylindrical tank with an open top has a diameter of 2.80 m and is completely filled with water. When the afternoon sun reaches an angle of 29.5° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank (in m)? m (b) What If? On winter solstice in Honolulu, the sun reaches a maximum altitude of 45.3° above the horizon. What would the depth of the tank have to be (in m) for the sun not to illuminate the bottom of the tank on that day? m
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