Hello, euclid2!

I like skeeter's solution . . . Here's my version.

Vivian and Bobby are 250 m apart and are facing each other.

Each one is looking up at a hot air balloon.

The angle of elevation from Vivian to the balloon is 75°

and the angle of elevation from Bobby to the balloon is 50°.

Determine the height of the balloon, to one decimal place. Code:

H
*
*: *
* 55° *
* : * v
* : *
* :y *
* : *
* 75° : 50° *
V * * * * * * * B
h = 250

We have: .

Since , we have: .

And we want

Law of Sines: .

We have: .