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To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal. An observer at a distance D = 515 m away measures the angle of elevation to the spot of light to be 45°. Find the height h of the cloud cover, correct to the nearest meter.
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\n" ); document.write( "The angle from the light is 75º, the angle at the observer is 45º, so the 3rd angle is 60º.
\n" ); document.write( "Use the law of sines to find the distance \"s\" from the observer to the cloud:
\n" ); document.write( "515/sin(60) = s/sin(75)
\n" ); document.write( "s = 515*sin(75)/sin(60)
\n" ); document.write( "s = 574.41 meters
\n" ); document.write( "Then, the height is s*sin(45)
\n" ); document.write( "s = 406.17 meters
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