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The lengths of a shadow cast by a gnomon a device used to tell time...

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The lengths of a shadow cast by a gnomon a device used to tell time of heighth when the angle of the sun above the horizon is can be modeled by the equation h sin 90 0 0 0 90 sin 0 a Verify that sh cot 6 Simplify at each step h sin 90 6 sin 0 h cos 8 h cot 6 G b Use a graphing utility to create a table of the lengths s for different values of 9 Let h 4 feet Round your answers to two decimal places 15 30 45 60 75 sin 8 90 0 x x x x X S

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