SOLUTION: An airplane flying horizontally at an altitude of 29,000 ft approaches a radar station located on a 3000-ft-high hill. At one instant in time, the angle between the radar dish poin
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-> SOLUTION: An airplane flying horizontally at an altitude of 29,000 ft approaches a radar station located on a 3000-ft-high hill. At one instant in time, the angle between the radar dish poin
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Question 810619: An airplane flying horizontally at an altitude of 29,000 ft approaches a radar station located on a 3000-ft-high hill. At one instant in time, the angle between the radar dish pointed at the plane and the horizontal is 55°. What is the straight-line distance in miles between the airplane and the radar station at that particular instant? (Round your answer to one decimal place.) Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! sin( t ) = opposite (o) / hypotenuse (h)
o = 29000 - 3000 = 26000
t = 55 degrees
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sin( 55 ) = 26000 / h
0.819152 = 26000 / h
h ~= 31740 feet
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straight line range from the radar antenna to the airplane: 31740 feet
31740 feet * (1 mile / 5280 feet) = 6.0 miles
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