After taking off, a helicopter climbs in a straight line at a constant angle b. Its flight is...

Question

After taking off, a helicopter climbs in a straight line at a constant angle b. Its flight is tracked by radar from point A. Determine the speed of the helicopter in terms of d, ß, θ, and θ.

Robert · Accepted Answer

   
 
FRom the diagram
            
sinsin 180
or                      sin sin cos cos sin
tan
or                                
tan cos sin
tan si
Then                                tan
r d
d r
r d
r d
 
    

  





 


 

 
 
 
 
 
2
2
n cos
tan cos sin
tan sin cos
                                             tan
tan cos sin
FRom the diagram
                               cos       where  
Then 
             t
r r
d
v v v r
d
 

  
  
 
  
 










  
 
 
 
 
 
 
2
2
tan sin cos
an cos cos sin sin
tan cos sin
tan sin cos
             tan cos tan sin cos
tan cos sin
v
d v
  
    
  
  
     
  


 


 


After taking off, a helicopter climbs in a straight line at a constant angle b. Its flight is tracked by radar from point A. Determine the speed of the helicopter in terms of d, ß, θ, and θ.

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