# How do you apply trigonometric equations to solve real life problems?

##### 1 Answer

When at

#### Explanation:

Someone from San Antonio requested an answer three years ago! Hope they've figured it out by now.

Here some real life trig I've been meaning to do. I wanted to know where that cell phone tower I can see from my house is. It's on a hill in the distance.

From one spot near my house, maybe the one in this picture, I pointed my phone at the tower with my GPS app on and got this:

The relevant information is:

At another spot I got

The heading is relative to due north. Here's a figure.

We treat west as negative. I translated the origin to #(-71.06, 43,08) and multiplied the coordinates by 100,000 so our new problem is:

Find Tower coordinates

To solve we write the equations of the two lines and find the meet.

When measured relative to the y axis like that, the heading angle

So our two lines

meet when

That means my tower is at GPS coordinates

Let's check Google Maps. Pretty good, off by around 400 feet.