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.

Guest Mar 27, 2020

#1**+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

CPhill Mar 27, 2020