Questions:

1. The captain first sights the lighthouse a point A and again when due west at point B. If the degree of measure of angle A is greater than 45E, then what is the largest value that the angle at the lighthouse could be? A hint for angle B is that it makes a right angle.
   
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2. Jamie, the lighthouse operator, plans to place buoy markers at points A and B. She draws a map to illustrate the placement of the buoys. The placement of the buoys is to be such that the degree of measurement of angle B is 76E and the angle at the lighthouse is to be less than ˝ the measurement of angle B. What are the possible values for the angle at the lighthouse?
   
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3. Sam, Jamie’s neighbor, suggests that the buoy at point B should be due west of the lighthouse and the angle measurement at the lighthouse should be no greater than 40E. What would be the possible angle measurements, in degrees, for angle A?
   
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4. The Coast Guard asks the lighthouse keeper to adjust the light beacon so that the light beam will cover the area between points A and B. In doing this, the light beam forms a triangle such that the degree measurement of angle B at 80E and the measurement of angle A is less than 60E. What range of values is possible for the angle at the source of light?
   
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