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Someone please answer this one geometry question for me?
Two observers simultaneously observe an airplane overhead
and between them. They measure their angle of elevation to the airplane and obtain 48 and 73. The airplane is 1.7 mi above the point shown in the figure. What are the distances, x and y, of each observer from the point directly below the airplane? Round your answers to the nearest hundredth of a mile.
1 Answer
- ?Lv 76 years ago
Let o be the position directly below the plane. Let the first observer making angle 73 be at x. The position of the second observer be at y make an angle 48. Height h= 1.7 miles. Use the geometry
to get
h/x= tan 73 = 3.27
h/y = tan 48 =1.1.
This gives the position x= 1.7/3.27=0.52 miles.
y= 1.7/1.1= 1.5 miles.