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प्रश्न
A tangent JK is drawn to a circle with centre C such that CK = 6 cm and ∠CKJ = 60°. Find the length of the tangent JK.
उत्तर
JK is a tangent at the point J and CJ is a radius.
So, CK = 6 cm and ∠CKJ = 60° ......[Given]
Now, ∠CKJ = 90° ......[Tangent theorem]
In ΔCJK,
cos 60° = `"Base"/"Hypotenuse"`
⇒ cos 60° = `(JK)/(KC) = (JK)/6`
⇒ `1/2 = (JK)/6`
⇒ JK = 3
Hence, the length of JK is 3 cm.
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