Answer :

**Given:** A circle with center O and a tangent AT passing through point A on the circle, also OT = 4 cm and ∠OTA = 30°.

**To find:** Length of AT

**Construction:** Join OA.

**Explanation:**

We know that, the tangent at any point of a circle is perpendicular to the radius through the point of contact.

So we have

OA ⏊ AT

Therefore, ∠OAT = 90°

In △ OAT

Using

We have,

AT=2√3 cm

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