Question

From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is `57°`, as shown below. If the distance between the radio antenna and the library is `1.3 mls`, how many miles high is the balloon?

Answer 1

I found `0.8mls`

Explanation:

We could use trigonometry, although I am not sure you know about it...!
Anyway, using trigonometry we have that the height of the baloon `h` can be found as:
`1.3/h=tan(57^@)`
where `tan` is the trigonometric ratio known as Tangent .
We can use a scientific calculator to find that:
`tan(57^@)=1.5398~~1.5`
so we get:
`1.3/h=1.5`
rearranging:
`h=1.3/1.5=0.8mls`