Question

4. If AB is a tangent drawn from a point B to a circle
with centre C and radius 1.5 cm such that
angleCBA = 30°, then find the length of a tangent AB
and a line CB.​

Answer 1

Step-by-step explanation:

If ab is a tangent drawn from an point b to a circle with centre c qnd radius 1.5 cm sucb that angle cba=30 degree then find the length of tangent ab and line cb

 

 

cb = 3 cm   & ab = 3√3/2  cm If ab is a tangent drawn from an point b to a circle with centre c and radius 1.5 cm sucb that angle cba=30 degree

Step-by-step explanation:

ab is a tangent drawn from an point b to a circle with centre c

=> Δcab is a right angle triangle

∠cab = 90 ° ( Tangent)

∠cba = 30°  given

Sin∠cba = ca /cb

ca = Radius = 1.5 cm

=> Sin30°  = ca /cb

=> 1/2  = 1.5 /cb

=> cb = 3 cm

ab² = cb² - ca²

=> ab² = 3² - 1.5²

=> ab²  = 1.5²(4 - 1)

=> ab² = 1.5² * 3

=> ab = 1.5√3

=> ab = 3√3/2 cm

Answer 2

Answer:

$3 \sqrt{3 } \div 2cm$

is the length if tangent

CB=3cm