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.
+128475 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
