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Charlie is watching hot air balloons. Balloon A has risen at a 50° angle. Balloon B has risen at a 78° angle. If the distance from balloon A to the ground is 1,000 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

 

 Mar 27, 2020
 #1
avatar+111330 
+2

Note  that  the balloons are at the smae height

 

Using the  tan the distance  from Charlie to the point directly  below balloon A  is given by

 

1000  / tan (50°)

 

And similalrly.....the  distance from Charlie to the point directly under balloon B  is given by

 

1000 / tan (78°)

 

So....the distace between  the  balloons is just the  sum of these  =

 

1000  (1/tan 50°  + 1/tan 78° )  ≈  1051.7 ft

 

 

cool cool cool

 Mar 27, 2020
 #2
avatar+1970 
0

Good job, Chris :)

CalTheGreat  Mar 27, 2020

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