# 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?

##### 1 Answer

May 13, 2016

I found

#### 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

where **Tangent** .

We can use a scientific calculator to find that:

so we get:

rearranging: