# Example 10

## Goal

Your goal in this example is to extend the earlier examples based on the angle equation to obtain the linearized model for a simple intersection.

## Situation

In this case, consider the situation where an unknown station is visible from two known stations and and where the angles and  are measured, as shown below.

## Problem

I want you derive the linearized functional model for this example in the form .

I want you to be as explicit in doing so as we were in Example 6, e.g. by: sketching the situation; stating what is given; stating what is required; showing your work and which equations you use; and putting boxes around your final answers. Where it simplifies things however, you may take the results obtained in earlier examples without re-deriving them.

To keep things simple, you may assume we only measure each angle only once.

## Guidance

Because you’re bringing together several models here, this is another situation where I’d offer the same guidance I did at the bottom of the section on Linearizing the model for a simple trilateration.