Question

In figure point P is the centre of the circle and line AB is the tangent to the circle at T. The radius of the circle is 6cm. Find PB if TPB = 60*
Please answer this question it’s urgent

Answer 1

Answer: 12 cm

Explanation:

Assuming you have diagram

In figure

PT=Radius=6cm

Angle TPB=60

TB is tangent at point T

'PT' radius

By tangent theorem-It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

PT perpendicular to TB -> Angle PTB=90

So triangle PTB is rt angled triangle at T

Hence in PTB

Cos 60= PT/PB=6/PB

6=xcos 60

On solving

X=12 cm

Thus PB=12 cm

Answered by Gauthmath

Mark brainliest if u got what you expected