Trig. Q: The two tangents from a point A to a circle touch the circle at S and at T.

eayuso

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The two tangents from a point A to a circle touch the circle at S and at T. Find the angle between one of the tangents and the chord ST given that the radius of the circle is 5 units and that A is 13 units from the centre of the circle.

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Just working is needed :smile:
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The two tangents from a point A to a circle touch the circle at S and at T. Find the angle between one of the tangents and the chord ST given that the radius of the circle is 5 units and that A is 13 units from the centre of the circle.
Start with what you've been given about tangents to circles. If one draws two tangents from the same point, what can be said about the angles in the resultant triangle (in this case, AST)? What do you know about the lengths of those tangents (in this case, AS and AT)? (here) Where does this lead?

Please reply with your thoughts and efforts so far. Thank you! ;)
 
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