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.

The balloon B is 2948 ft apart from balloon A.

Step-by-step explanation:

From the figure ,

NO is the distance of Balloon A from the ground , NP is the distance of Balloon B from the ground. ∠OMN is the angle of elevation of balloon A ,   ∠PMN is the angle of elevation of balloon B.

Points O & P are positions of balloon A and B from the ground.

So, According to Question

       ON = 1000 ft , ∠OMN = 50° , ∠PMN = 78°

Now, considering Triangle ΔOMN

    (∠OMN) =

     (50°)  =

     1.19175359 =

     MN = 839.099633 ft

   Again considering triangle ΔPMN

    (∠PMN) =

    (78°) =

    (78°) =

    4.70463011 =

    OP = 3947.6534 - 1000

          = 2947.6534 ≅ 2948 ft

Therefore, the balloon B is 2948 ft apart from balloon A.

hi there!

the answer will be d: 2