A jet airliner is flying at a constant altitude of 12,000 ft above sea level as it approaches a Pacific island. The aircraft comes within the direct line of sight of a radar station located on the island (at sea level), and the radar indicates that the initial angle between sea level and its line of sight to the aircraft is 30°. How fast (in miles per hour) is the aircraft approaching the island when first detected by the radar instrument if it is turning upward at the rate of 2 /3 deg/sec in order to keep the aircraft within its direct line of sight?

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A jet airliner is flying at a constant altitude of 12,000 ft above sea
level as it approaches a Pacific island. The aircraft comes within the direct line of sight of
a radar station located on the island (at sea level), and the radar indicates that the initial
angle between sea level and its line of sight to the aircraft is 30°. How fast (in miles per
hour) is the aircraft approaching the island when first detected by the radar instrument
if it is turning upward at the rate of 2 /3 deg/sec in order to keep the aircraft within its
direct line of sight?

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