Solve each problem. See Examples 3 and 4. Cloud Ceiling The U.S. Weather Bureau defines

Chapter 2, Problem 60

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Solve each problem. See Examples 3 and 4. Cloud Ceiling The U.S. Weather Bureau defines a cloud ceiling as the altitude of the lowest clouds that cover more than half the sky. To determine a cloud ceiling, a powerful searchlight projects a circle of light vertically on the bottom of the cloud. An observer sights the circle of light in the crosshairs of a tube called a clinometer. A pendant hanging vertically from the tube and resting on a protractor gives the angle of elevation. Find the cloud ceiling if the searchlight is located 1000 ft from the observer and the angle of elevation is 30.0 as measured with a clinometer at eye-height 6 ft. (Assume three significant digits.)