If this indeed a right angle triangle in this exercise or is my drawing confusing me?

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I was reading the following exercise:

An airplane needs to fly to a city $100$ miles away. But it flies in a $2º$ off the correct course. When it has flown $100$ miles how far will it be from the town.

For my approach I considered the solution as follows:
enter image description here

AB=$100\cdot \sin 2º = 3.4899$ miles off

Question:
I made the assumption here that $A$ is a right angle because $SA=SB$ and $SA$ is a straight line and $A$ and $B$ are at the same level. But I am thinking that the way I have drawn it makes me think it is a right angle.
Is my approach correct?