NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she steps back 200 feet, the new angle of elevation is 10°. If Angie is 5.5 feet tall, how far off the ground is a hot air balloon?

The distance from hot air balloon to the ground  .

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is °.

When she  stepped back then angle of elevation was °.

Height of Angie is  .

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie

  In triangle Δ,

         ⇒                    

         ⇒                                ....................(1)

Now, In triangle Δ

         ⇒                  

         ⇒                

Here, substituting the value from Equation (1) we get,

        ⇒                

        ⇒                  

        ⇒                              

Now, finding the value of from equation (1)

Therefore Length of =

                                  .

Hence,

The distance from hot air balloon to the ground  .                

step-by-step explanation:

in which figure is point g a centroid