Question

PQ is a chord of length $8$ cm of a circle of radius $5$ cm. The tangents at P and Q intersect at a point T. Find length TP.

Answer 1

$\sin \theta =\frac{4}{5}$

$\frac{TP}{OP}=\tan \theta =\frac{4}{3}=\frac{TP}{5}=TP=\frac{20}{3}$